Titlebook: Nonlinear and Modern Mathematical Physics; NMMP-2022, Tallahass Solomon Manukure,Wen-Xiu Ma Conference proceedings 2024 The Editor(s) (if a

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/n/image/667773.jpg

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,Factorization Conditions for?Nonlinear Second-Order Differential Equations,the factorization conditions of Rosu & Cornejo-Pérez are approached in two ways: (i) by commuting the subindices of the factorization functions in the two factorization conditions and (ii) by leaving invariant only the first factorization condition achieved by using monomials or polynomial sequences

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,Symbolic Computation of?Solitary Wave Solutions and?Solitons Through Homogenization of?Degree,e of dependent variable transforms the PDE into an equation that is homogeneous of degree. Solitons are then computed using a perturbation-like scheme involving linear and nonlinear operators in a finite number of steps. The method is applied to fifth-order Korteweg-de Vries (KdV) equations due to L

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,Damped Nonlinear Schr?dinger Equation with?Stark Effect,erature. We study the .-critical damped NLS with a Stark potential. We prove that the threshold for global existence and finite time blow-up of this equation is given by ., where . is the unique positive radial solution of . in .. Moreover, in any small neighborhood of ., there exists an initial dat

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,Effect of?Electron’s Drift Velocity in?Nonlinear Ion-Acoustic Solitons in?a?Negative Ion Beam Plasmtive ion and negative ion beams together with thermal electrons. For various selections of .(., negative ion beam to positive ion mass ratio) larger and less than one, low amplitude rarefactive and compressive KdV solitons are created in the plasma under the effect of the electron’s drift velocity .