Results 41 to 50 of about 49,111 (193)

Discretization of Toroidal Soliton Equations [PDF]

Journal of Nonlinear Mathematical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Partial Differential Equations in Applied Mathematics
The 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, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah   +5 more
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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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Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

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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Soliton equations solved by the boundary CFT

, 2003
Soliton equations are derived which characterize the boundary CFT a la Callan et al. Soliton fields of classical soliton equations are shown to appear as a neutral bound state of a pair of soliton fields of BCFT. One soliton amplitude under the influence
Saito, Satoru, Sato, Ryuichi
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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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Solitons of Wave Equation

Journal of Nonlinear Mathematical Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fast Method for Estimating the Parameters of Partial Differential Equations from Inaccurate Observations

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, Alexey Gudimenko, Marina Osipova   +2 more
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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, Cao Cewen, Dubrovin B A, Eilbeck J C, Faddeev L D, Its A, Newell A C, Ragnisco O, Sklyanin E K, Sklyanin E K, Yunbo Zeng, Zeng Yunbo, Zeng Yunbo, Zeng Yunbo   +13 more
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