Results 31 to 40 of about 927 (70)

On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics

open access: yesOpen Physics, 2018
In this paper, we study a (2+1) dimensional KdV-mKdV equation, which models many physical phenomena of mathematical physics. This equation has two integral terms in it.
Motsepa Tanki, Masood Khalique Chaudry
doaj   +1 more source

Dynamical localization of matter wave solitons in managed barrier potentials

open access: yes, 2006
The bright matter wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged over rapid oscillations Gross-Pitaevskii (GP) equation is derived.
F. Kh. Abdullaev   +4 more
core   +1 more source

Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations

open access: yesOpen Physics, 2018
In this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method.
Lu Dianchen   +2 more
doaj   +1 more source

Approximate perturbed direct homotopy reduction method: infinite series reductions to two perturbed mKdV equations

open access: yes, 2009
An approximate perturbed direct homotopy reduction method is proposed and applied to two perturbed modified Korteweg-de Vries (mKdV) equations with fourth order dispersion and second order dissipation.
Cao C W   +15 more
core   +1 more source

Solitary wave solutions of two KdV-type equations

open access: yesOpen Physics, 2018
The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
doaj   +1 more source

Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation via two methods and its applications

open access: yesOpen Physics, 2018
The aim of this article is to construct some new traveling wave solutions and investigate localized structures for fourth-order nonlinear Ablowitz-Kaup-Newell-Segur (AKNS) water wave dynamical equation.
Ali Asghar, Seadawy Aly R., Lu Dianchen
doaj   +1 more source

Riccati-parameter solutions of nonlinear second-order ODEs

open access: yes, 2008
It has been proven by Rosu and Cornejo-Perez in 2005 that for some nonlinear second-order ODEs it is a very simple task to find one particular solution once the nonlinear equation is factorized with the use of two first-order differential operators. Here,
Berkovich L M   +6 more
core   +2 more sources

A modified cubic B-spline differential quadrature method for three-dimensional non-linear diffusion equations

open access: yesOpen Physics, 2017
This paper employs a differential quadrature scheme for solving non-linear partial differential equations. Differential quadrature method (DQM), along with modified cubic B-spline basis, has been adopted to deal with three-dimensional non-linear ...
Dahiya Sumita, Mittal Ramesh Chandra
doaj   +1 more source

Exact solutions of equal-width equation and its conservation laws

open access: yesOpen Physics, 2019
In this work we investigate the equal-width equation, which is used for simulation of (1-D) wave propagation in non-linear medium with dispersion process.
Khalique Chaudry Masood   +2 more
doaj   +1 more source

Blow up solutions to a viscoelastic fluid system and a coupled Navier-Stokes/Phase-Field system in R^2

open access: yes, 2011
We find explicit solutions to both the Oldroyd-B model with infinite Weissenberg number and the coupled Navier-Stokes/Phase-Field system.
Bo-Ling Guo   +4 more
core   +1 more source

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