標(biāo)題: Titlebook: Dynamical Problems in Soliton Systems; Proceedings of the S Shozo Takeno Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 1985 [打印本頁(yè)] 作者: HEM 時(shí)間: 2025-3-21 18:15
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems影響因子(影響力)
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems被引頻次
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems被引頻次學(xué)科排名
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems年度引用
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems年度引用學(xué)科排名
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems讀者反饋
書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems讀者反饋學(xué)科排名
作者: 細(xì)查 時(shí)間: 2025-3-21 23:52
Approximations for the Inverse Scattering Transforminverse scattering transform) [1]. Although the IST is an exact method, its complexity does require that one be able to make use of some approximations. And while I shall be discussing approximations, let me note that I also shall be emphasizing the methods and not the mathematical details.作者: Reclaim 時(shí)間: 2025-3-22 04:19
The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanicsondition between two classical Hamiltonian flows, one evolving in Y with Hamiltonian H.= P./2 + U(X,Y,T), and the other evolving in T, with Hamiltonian H.= P./3 + P U(X,Y,T) + V(X,Y,T). Some solutions of the system may consequently be derived from solutions of the Benney hierarchy, a class of moment作者: semble 時(shí)間: 2025-3-22 08:11 作者: CIS 時(shí)間: 2025-3-22 08:53 作者: Mnemonics 時(shí)間: 2025-3-22 13:50
A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity A exact reduction of a completely integrable nonlinear partial differential equation (PDE) is of Painlevé type. Here an ODE is said to be of Painlevé type if its general solution has no movable singularities other than poles. Moreover they presented an explicit algorithm to test whether a given ODE s作者: Mnemonics 時(shí)間: 2025-3-22 18:01 作者: 音的強(qiáng)弱 時(shí)間: 2025-3-23 00:58 作者: 燒烤 時(shí)間: 2025-3-23 03:23
Solitons in the Quantum Toda LatticeANG and YANG [2] on the Bose gas with repulsive delta-function interactions. SUTHERLAND [3] generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the e作者: Etching 時(shí)間: 2025-3-23 07:35
Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanicsfor many other models such as the quantum nonlinear Schr?dinger model (delta-function interaction model) [2], the massive Thirring model [3], etc.. C.N.Yang and C.P.Yang exploit this method, and succeed in getting the equilibrium of the thermodynamics of the system with a finite temperature [4]. We 作者: 原來(lái) 時(shí)間: 2025-3-23 12:04 作者: DOLT 時(shí)間: 2025-3-23 17:00 作者: 柳樹(shù)；枯黃 時(shí)間: 2025-3-23 20:52 作者: artifice 時(shí)間: 2025-3-23 22:27
,Meinungsverschiedenheitenüber Unfallfolgen, motion of certain one-dimensional nonlinear lattices, and found recurrence to initial state at least for small nonlinearity and smooth initial excitation. The idea that for sufficiently smooth waves, a lattice can be approximated by a continuum led ZABUSKY and KRUSKAL [2] to the numerical study of the Korteweg-de Vries equation作者: 強(qiáng)所 時(shí)間: 2025-3-24 03:16
,Einschr?nkung der Leistungspflicht,inverse scattering transform) [1]. Although the IST is an exact method, its complexity does require that one be able to make use of some approximations. And while I shall be discussing approximations, let me note that I also shall be emphasizing the methods and not the mathematical details.作者: triptans 時(shí)間: 2025-3-24 07:08
https://doi.org/10.1007/978-3-662-13416-0 by a dependent variable transformation. A perturbational approach is employed to understand the structure of solutions of the equation. First, a series of differential equations approximating the integro-differential equation is derived. Then the effect of higher order corrections on the equilibrium solution is investigated.作者: Apraxia 時(shí)間: 2025-3-24 14:07
Josef Krautkr?mer,Herbert Krautkr?merANG and YANG [2] on the Bose gas with repulsive delta-function interactions. SUTHERLAND [3] generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the excitation spectrum.作者: impaction 時(shí)間: 2025-3-24 17:33
Josef Krautkr?mer,Herbert Krautkr?mery of the soliton paradigm [1] in a statistical-mechanical context and establish a link between three seemingly disparate lines of nonlinear development: Inverse scattering theory (IST), transfer integral (TI) method and the Bethe Ansatz (RA).作者: crucial 時(shí)間: 2025-3-24 20:44 作者: mettlesome 時(shí)間: 2025-3-25 01:49 作者: Bureaucracy 時(shí)間: 2025-3-25 05:09 作者: 闡明 時(shí)間: 2025-3-25 08:32 作者: Abbreviate 時(shí)間: 2025-3-25 12:31
Josef Krautkr?mer,Herbert Krautkr?merThe Baxter model is generalized to the higher dimensional representations of SU(2) group. The factorized S-matrix, q-state vertex model and XXZ Heisenberg model of spin S are treated from the unified point of view. Some features of SU(2) Thirring model are also discussed.作者: painkillers 時(shí)間: 2025-3-25 16:53
Josef Krautkr?mer,Herbert Krautkr?merWe are going to describe our work on the quantum and classical statistical mechanics of some exactly integrable non-linear one dimensional systems. The simplest is the non-linear Schr?dinger equation (NLS).where c, the coupling constant, is positive. The others are the sine- and sinh-Gordon equations (sG and shG)作者: 戰(zhàn)役 時(shí)間: 2025-3-25 22:32
IntroductionIt is now a well-known story that John Scott-Russell on his horse found and chased a solitary wave propagating in the canal near Edinburgh, Scotland. It was some evening in August, 1834. In a sense, the 7th Kyoto Summer Institute on “Dynamical Problems in Soliton Systems” is the 150-year anniversary of the first observation of a soliton.作者: FOVEA 時(shí)間: 2025-3-26 02:18
Hamiltonian Structures of Soliton Equations via Constrained Variational CalculusWe prove the following trace identity. where K satisfies the equation K.=[U,K] and U=U(u.,n). We show that a number of known formulae, obtained previously by complicated calculation, are the special cases of this remarkable identity.作者: 可用 時(shí)間: 2025-3-26 07:26
Fundamental Properties of the Binary Operators in Soliton Theory and Their GeneralizationWe have introduced a binary operator to transform a class of nonlinear evolution equations into the bilinear form . The binary operator D. operating on a pair of arbitrary functions f and g is defined by ..作者: oncologist 時(shí)間: 2025-3-26 10:38
Recent Progress in Quantum Inverse Scattering Method — Baxter Hierarchy and Its ApplicationsThe Baxter model is generalized to the higher dimensional representations of SU(2) group. The factorized S-matrix, q-state vertex model and XXZ Heisenberg model of spin S are treated from the unified point of view. Some features of SU(2) Thirring model are also discussed.作者: Enthralling 時(shí)間: 2025-3-26 16:22 作者: 違抗 時(shí)間: 2025-3-26 18:39 作者: Irksome 時(shí)間: 2025-3-27 00:12 作者: cinder 時(shí)間: 2025-3-27 03:08 作者: Brochure 時(shí)間: 2025-3-27 05:35 作者: 條街道往前推 時(shí)間: 2025-3-27 13:01 作者: 創(chuàng)作 時(shí)間: 2025-3-27 17:19
https://doi.org/10.1007/978-3-662-13416-0 exact reduction of a completely integrable nonlinear partial differential equation (PDE) is of Painlevé type. Here an ODE is said to be of Painlevé type if its general solution has no movable singularities other than poles. Moreover they presented an explicit algorithm to test whether a given ODE s作者: 假裝是我 時(shí)間: 2025-3-27 19:46
https://doi.org/10.1007/978-3-662-13416-0 problem of a nonlinear evolution equation is solved. We now have its extension to the quantum theory which we call the quantum inverse scattering method. It provides not only a powerful method for studying completely integrable quantum systems, but also a unified viewpoint on the structure of solva作者: 詞匯 時(shí)間: 2025-3-28 00:12
https://doi.org/10.1007/978-3-662-13416-0ras are the basic concepts of integrability. In statistical models and field theories the commutativity of transfer matrices t(λ) at different values of the spectral parameter follows directly from the Yang-Baxter algebra. The expansion in powers of λ of log t(λ) (or t(λ)) provides an infinite numbe作者: 違反 時(shí)間: 2025-3-28 04:08
Josef Krautkr?mer,Herbert Krautkr?merANG and YANG [2] on the Bose gas with repulsive delta-function interactions. SUTHERLAND [3] generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the e作者: jet-lag 時(shí)間: 2025-3-28 06:38
Ebene Schallwellen an Grenzfl?chenfor many other models such as the quantum nonlinear Schr?dinger model (delta-function interaction model) [2], the massive Thirring model [3], etc.. C.N.Yang and C.P.Yang exploit this method, and succeed in getting the equilibrium of the thermodynamics of the system with a finite temperature [4]. We 作者: scotoma 時(shí)間: 2025-3-28 12:49
Josef Krautkr?mer,Herbert Krautkr?mery of the soliton paradigm [1] in a statistical-mechanical context and establish a link between three seemingly disparate lines of nonlinear development: Inverse scattering theory (IST), transfer integral (TI) method and the Bethe Ansatz (RA).作者: negotiable 時(shí)間: 2025-3-28 18:07
https://doi.org/10.1007/978-3-662-02449-2mechanics; nonlinear systems; paper; physics; soliton; theoretical physics作者: 配置 時(shí)間: 2025-3-28 20:06 作者: Acetaminophen 時(shí)間: 2025-3-29 00:50
Some Aspects of Soliton Dynamics motion of certain one-dimensional nonlinear lattices, and found recurrence to initial state at least for small nonlinearity and smooth initial excitation. The idea that for sufficiently smooth waves, a lattice can be approximated by a continuum led ZABUSKY and KRUSKAL [2] to the numerical study of the Korteweg-de Vries equation作者: 厭食癥 時(shí)間: 2025-3-29 05:59
Approximations for the Inverse Scattering Transforminverse scattering transform) [1]. Although the IST is an exact method, its complexity does require that one be able to make use of some approximations. And while I shall be discussing approximations, let me note that I also shall be emphasizing the methods and not the mathematical details.作者: 逗留 時(shí)間: 2025-3-29 08:38 作者: 使閉塞 時(shí)間: 2025-3-29 13:51 作者: 哎呦 時(shí)間: 2025-3-29 17:08 作者: 有常識(shí) 時(shí)間: 2025-3-29 23:06
The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics equations which arose originally as a description of long waves on a shallow perfect fluid, while the initial value problem is equivalent to the open problem of finding the potential U(X,Y,T) in the Hamiltonian H., given the asymptotics of its orbits.作者: impale 時(shí)間: 2025-3-30 03:25
Hirota’s Method and the Painlevé Propertyf phase space, a complete integration can be effected by the identification of as many involutive integrals as there are degrees of freedom (N). For integrable Hamiltonian systems the flow is confined to N-dimensional tori embedded in the 2N-dimensional phase space.作者: instulate 時(shí)間: 2025-3-30 07:47
Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanicsfind that the eigenstates of the quantum three wave interaction model can be derived by the Bethe Ansatz method [5]. We treat the thermodynamics in the case without the bound states in the eigenstates, as some difficulties occur with the existence of the bound states.作者: 失誤 時(shí)間: 2025-3-30 11:46 作者: Nucleate 時(shí)間: 2025-3-30 13:13
https://doi.org/10.1007/978-3-662-13416-0hod. It provides not only a powerful method for studying completely integrable quantum systems, but also a unified viewpoint on the structure of solvable models in quantum field theory and statistical mechanics.作者: Myelin 時(shí)間: 2025-3-30 20:10
https://doi.org/10.1007/978-3-662-13416-0s of freedom (infinity). More precisely, one associates in many theories a local transition matrix L.(λ) and the monodromy operator ., the trace of which is the transfer matrix t(λ). In an integrable theory T(λ) verifies the Yang-Baxter algebra.作者: induct 時(shí)間: 2025-3-30 23:09
Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanicss of freedom (infinity). More precisely, one associates in many theories a local transition matrix L.(λ) and the monodromy operator ., the trace of which is the transfer matrix t(λ). In an integrable theory T(λ) verifies the Yang-Baxter algebra.作者: 行為 時(shí)間: 2025-3-31 01:45
A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Aype if its general solution has no movable singularities other than poles. Moreover they presented an explicit algorithm to test whether a given ODE satisfies certain necessary conditions for it to be of Painlevé type [1,2].作者: 過(guò)分 時(shí)間: 2025-3-31 08:16 作者: 期滿 時(shí)間: 2025-3-31 11:24
https://doi.org/10.1007/978-3-662-13416-0 equations which arose originally as a description of long waves on a shallow perfect fluid, while the initial value problem is equivalent to the open problem of finding the potential U(X,Y,T) in the Hamiltonian H., given the asymptotics of its orbits.作者: stratum-corneum 時(shí)間: 2025-3-31 14:25
https://doi.org/10.1007/978-3-662-13416-0f phase space, a complete integration can be effected by the identification of as many involutive integrals as there are degrees of freedom (N). For integrable Hamiltonian systems the flow is confined to N-dimensional tori embedded in the 2N-dimensional phase space.作者: anchor 時(shí)間: 2025-3-31 19:16
Ebene Schallwellen an Grenzfl?chenfind that the eigenstates of the quantum three wave interaction model can be derived by the Bethe Ansatz method [5]. We treat the thermodynamics in the case without the bound states in the eigenstates, as some difficulties occur with the existence of the bound states.
