Results 251 to 260 of about 3,788,461 (324)
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The Combination of Conservation Laws and Auxiliary Equation Method

International Journal of Applied and Computational Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zehra Pinar
openaire   +3 more sources

A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy

International Journal of Modern Physics B, 2021
In this paper, we present a work on dynamic equation of Deoxyribonucleic acid (DNA) derived from the Peyrard–Bishop (PB) model oscillator chain for various dynamical solitary wave solutions.
L. Ouahid   +4 more
semanticscholar   +1 more source

Sub pico-second Soliton with Triki–Biswas equation by the extended (G′G2)-expansion method and the modified auxiliary equation method

, 2021
Triki and Biswas proposed a significant generalization of the derivative nonlinear Schrodinger equation that could be a model condition of ultrashort pluse propagation in optical fiber frameworks.
G. Akram, Syeda Rijaa Gillani
semanticscholar   +1 more source

Homogeneous balance method and auxiliary equation method as particular cases of simple equations method (SEsM)

, 2021
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the much used Homogeneous Balance Method, Extended Homogeneous Balance method and Auxiliary Equation Method are ...
Z. Dimitrova, Kaloyan N. Vitanov
semanticscholar   +1 more source

Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method

International journal of nonlinear sciences and numerical simulation, 2021
In this paper, we have approached a complicated nonlinear wave equation which links the Rosenau–Kawahara equation to the regularized long wave (RLW) equation.
J. Sabi’u   +3 more
semanticscholar   +1 more source

New graphical observations for KdV equation and KdV–Burgers equation using modified auxiliary equation method

Modern physics letters B, 2021
This study is made to extract the exact solutions of Korteweg–de Vries–Burgers (KdVB) equation and Korteweg–de Vries (KdV) equation. The original idea of this work is to investigate KdV equation and KdVB equation for possible closed form solutions by ...
G. Akram, Maasoomah Sadaf, Iqra Zainab
semanticscholar   +1 more source

AUXILIARY EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR EVOLUTION EQUATIONS

International Journal of Modern Physics C, 2003
By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly ...
Sirendaoreji, Jiong, Sun
openaire   +2 more sources

Auxiliary equation method for solving nonlinear partial differential equations

Physics Letters A, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sirendaoreji, Jiong, Sun
openaire   +1 more source

Auxiliary source point method: the Laplace equation

Engineering Analysis with Boundary Elements, 1987
Abstract A new boundary collocation method is demonstrated using auxiliary source points located outside the normal boundary. It is shown that this eliminates the intermediate integration step normally found in boundary element methods and the approximating function can be found simply by a matrix inversion.
H.M. Cekirge, W.J. Lehr
openaire   +2 more sources

Optical solutions for perturbed conformable Fokas–Lenells equation via Kudryashov auxiliary equation method

Modern physics letters B
This paper is dedicated to the study of optical soliton solutions for the perturbed Fokas–Lenells equation with conformable derivative using the Kudryashov auxiliary equation method. The studied optical solutions include a class of categories, comprising
Muhammad Amin S. Murad
semanticscholar   +1 more source

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