Results 31 to 40 of about 48,721 (216)
Frontiers in Physics, 2021 This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza +5 more
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Five lectures on Soliton equations [PDF]
Surveys in Differential Geometry, 1998 42 pages, Latex2e; Contribution to Surveys in Differential Geometry, Vol.
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Partial Differential Equations in Applied MathematicsThe study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal +5 more
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Advances in Difference Equations, 2018 Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
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Effect of Phase Shift in Shape Changing Collision of Solitons in Coupled Nonlinear Schroedinger Equations [PDF]
, 2002 Soliton interactions in systems modelled by coupled nonlinear Schroedinger (CNLS) equations and encountered in phenomena such as wave propagation in optical fibers and photorefractive media possess unusual features : shape changing intensity ...
Kanna, T., Lakshmanan, M.
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New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations
Abstract and Applied Analysis, 2015 The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
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Deriving N-soliton solutions via constrained flows
, 2000 The soliton equations can be factorized by two commuting x- and t-constrained flows. We propose a method to derive N-soliton solutions of soliton equations directly from the x- and t-constrained flows.Comment: 8 pages, AmsTex, no figures, to be published
Ablowitz M +13 more
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Mathematics, 2023 In this paper, the problems of estimating the parameters of partial differential equations from numerous observations in the vicinity of some reference points are considered.
Gurami Tsitsiashvili +2 more
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On the soliton dynamics under a slowly varying medium for generalized KdV equations
, 2009 We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized Korteweg - de Vries equations (gKdV). We study the effects of inhomogeneities on the dynamics of a standard soliton.
Muñoz, Claudio
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The new soliton solutions for long and short-wave interaction system
Journal of Ocean Engineering and Science, 2022 The goal of this paper is to discover modern soliton solutions to long and short-wave interaction system by procedures called extended rational sine-cosine and rational sinh-cosh methods.
Sayyed Masood Zekavatmand +4 more
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