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Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis. [PDF]

Sci Rep
Nawaz S, Ahmed MO, Baber MZ, Bittaye E, Yasin MW.   +4 more
europepmc   +1 more source

Exact multi-soliton solution of the Benjamin-Ono equation

Exact multi-soliton solution of the Benjamin-Ono equation
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Multi-soliton solutions for a nonlocal complex coupled dispersionless equation

Communications in Nonlinear Science and Numerical Simulation, 2020
Coupled dispersionless equation is an important model in quantum physics. Complex coupled dispersionless equation has valuable applications in geomerty. Recently, Ablowitz and Musslimani introduced and investigated a large class of reverse space, reverse
Zuo-Nong Zhu
exaly   +3 more sources

The multi-soliton solutions of the CH-γ equation

Science in China Series A: Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Yishen
exaly   +2 more sources

Parametric multi-soliton solutions of a generalized Harry-Dym type equation

Applied Mathematics Letters, 2021
Resorting to a reciprocal transformation, the generalized Harry-Dym type equation is related to the KdV equation. With the help of this reciprocal transformation and Darboux transformation for the KdV equation, we obtain some new parametric multi-soliton
Lihua Wu, Chendi Zhu
semanticscholar   +3 more sources

Multi-Soliton Solutions to Nonlinear Hirota-Ramani Equation

Applied Mathematics & Information Sciences, 2017
A direct rational exponential scheme is proposed to construct exact multi-soliton nonlinear partial differential equations. As an example we consider the well-known nonlinear Hirota-Ramani equation to investigate one-soliton, two-soliton and three ...
Harun-Or Roshid, Md. Nur Alam
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Generalized fifth-order nonlinear evolution equation for the Sawada-Kotera, Lax, and Caudrey-Dodd-Gibbon equations in plasma physics: Painlevé analysis and multi-soliton solutions

Physica Scripta, 2022
This research aims to investigate a generalized fifth-order nonlinear partial differential equation for the Sawada-Kotera (SK), Lax, and Caudrey-Dodd-Gibbon (CDG) equations to study the nonlinear wave phenomena in shallow water, ion-acoustic waves in ...
Sachin Kumar, Brij Mohan, Amit Kumar
semanticscholar   +1 more source

Multi-soliton solutions and asymptotic analysis for the coupled variable-coefficient Lakshmanan-Porsezian-Daniel equations via Riemann-Hilbert approach

Physica Scripta, 2023
In this paper, we study multi-soliton solutions and asymptotic analysis for the coupled variable-coefficient Lakshmanan-Porsezian-Daniel equations, which describe the simultaneous propagation of nonlinear waves in the inhomogeneous optical fibers.
L. Ma, Si-wen Li, Tianli Wang, Xi-Yang Xie, Zhong Du   +4 more
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A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

Physica Scripta, 2021
This paper investigates the new KP equation with variable coefficients of time ‘t’, broadly used to elucidate shallow water waves that arise in plasma physics, marine engineering, ocean physics, nonlinear sciences, and fluid dynamics. In 2020, Wazwaz [1]
Sachin Kumar, Brij Mohan
semanticscholar   +1 more source

Riemann–Hilbert approach and multi-soliton solutions of a variable-coefficient fifth-order nonlinear Schrödinger equation with N distinct arbitrary-order poles

Modern physics letters B, 2021
Based on inverse scattering transformation, a variable-coefficient fifth-order nonlinear Schrödinger equation is studied through the Riemann–Hilbert (RH) approach with zero boundary conditions at infinity, and its multi-soliton solutions with [Formula ...
Zhi-Qiang Li, Shou‐Fu Tian, Tian‐Tian Zhang, Jin-Jie Yang   +3 more
semanticscholar   +1 more source