Results 21 to 30 of about 554,383 (268)
Multi-soliton solution, rational solution of the Boussinesq–Burgers equations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rady, A. S. Abdel +2 more
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Multi-solitons and Related Solutions for the Water-waves System [PDF]
SIAM Journal on Mathematical Analysis, 2015 The main result of this work is the construction of multi-solitons solutions that is to say solutions that are time asymptotics to a sum of decoupling solitary waves for the full water waves system with surface tension.
Mei Ming +2 more
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Dynamical behaviors of a new KdV model via Hirota’s bilinear formulation
Partial Differential Equations in Applied Mathematics, 2022 This study considers a totally new (2+1)-D KdV model to investigate multi-soliton solutions and their dynamical collisions. We derive its multi-soliton solutions, and then taking complex values of the involved free parameters, we generate various ...
Md. Golam Arif +4 more
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Darboux transformation and dark vector soliton solutions for complex mKdV systems
Partial Differential Equations in Applied Mathematics, 2021 A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system.
Rusuo Ye, Yi Zhang, Wen-Xiu Ma
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Moduli spaces for PT-regularized solitons
Journal of High Energy Physics, 2022 We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized.
Francisco Correa +2 more
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Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method
Results in Physics, 2021 In this work, the analytic solutions for different types of nonlinear partial differential equations are obtained using the multiple Exp-function method.
Kottakkaran Sooppy Nisar +5 more
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Journal of Ocean Engineering and Science, 2023 Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar +2 more
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Journal of Advanced Research, 2022 Introduction: The Gross-Pitaevskii equation is a class of the nonlinear Schrödinger equation, whose exact solution, especially soliton solution, is proposed for understanding and studying Bose-Einstein condensate and some nonlinear phenomena occurring in
Haotian Wang, Qin Zhou, Wenjun Liu
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DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF TWO-BOSON HIERARCHY [PDF]
Modern Physics Letters A, 2011 We study Darboux transformations for the two boson (TB) hierarchy both in the scalar as well as in the matrix descriptions of the linear equation. While Darboux transformations have been extensively studied for integrable models based on SL (2, R) within the AKNS framework, this model is based on SL (2, R)⊗ U (1). The connection between the scalar and
Das, Ashok, Saleem, U.
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Mathematics, 2023 A (3+1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation is considered systematically. N-soliton solutions are obtained using Hirota’s bilinear method.
Jian Zhang +3 more
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