Results 31 to 40 of about 458,840 (351)

Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation

Frontiers in Physics, 2021
It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations.
Dmitry E. Pelinovsky
doaj   +1 more source

Exact Solutions of Travelling Wave Model via Dynamical System Method

Abstract and Applied Analysis, 2016
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
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The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations

Journal of Applied Mathematics, 2013
We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
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Lump, multi-lump, cross kinky-lump and manifold periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation

Heliyon, 2020
A bilinear form of the (2+1)-dimensional nonlinear Calogero–Bogoyavlenskii–Schiff (CBS) model is derived using a transformation of dependent variable, which contain a controlling parameter.
Harun-Or- Roshid, Mahbub Hassan Khan, Abdul-Majid Wazwaz   +2 more
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Multi lump and interaction solutions for Atangana conformable Boussinesq-like equation

Results in Physics, 2022
Atangana conformable Boussinesq-like equations (NLACBEs) plays an important role in shape-memory alloys, nonlinear string and coupled electrical circuits.
S.T.R. Rizvi, Aly R. Seadawy, S.K. Naqvi, Saeed Althubiti   +3 more
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Periodic Solutions of Certain Abstract Wave Equations [PDF]

Proceedings of the American Mathematical Society, 1995
Summary: Existence results of periodic solutions of certain abstract, weakly nonlinear, wave equations are given when eigenvalues of linear parts of those equations are incommensurable to the time period.
openaire   +2 more sources

Novel solitons and periodic wave solutions for Davey–Stewartson system with variable coefficients

Journal of Taibah University for Science, 2020
In this paper, the variable coefficients Davey–Stewartson system represents many physical phenomena in shallow water waves, quantum and optics, etc, is transformed directly into nonlinear ordinary differential system by using the new modification to the ...
Rehab M. El-Shiekh, Mahmoud Gaballah
semanticscholar   +1 more source

Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System

Journal of Applied Mathematics, 2012
An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation.
Weiguo Rui, Yao Long
doaj   +1 more source

Abundant periodic wave solutions for fifth-order Sawada-Kotera equations

, 2020
In this manuscript, two nonlinear fifth-order partial differential equations, namely, the bidirectional and 2D- Sawada-Kotera equations are analytically treated using an extended form of homoclinic process.
Muhammad Tahir, A. Awan, M. Osman, D. Baleanu, Maysaa M. Al-Qurashi   +4 more
semanticscholar   +1 more source

Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+1)-dimensional burgers system in ocean physics and hydrodynamics

Journal of Ocean Engineering and Science, 2023
In the fields of oceanography, hydrodynamics, and marine engineering, many mathematicians and physicists are interested in Burgers-type equations to show the different dynamics of nonlinear wave phenomena, one of which is a (3+1)-dimensional Burgers ...
Sachin Kumar, Amit Kumar, Brij Mohan
doaj   +1 more source