Results 151 to 160 of about 6,339 (163)

Negative‐order modified KdV equations: multiple soliton and multiple singular soliton solutions

Mathematical Methods in the Applied Sciences, 2015
In this work, we develop the negative‐order modified Korteweg–de Vries (nMKdV) equation. By means of the recursion operator of the modified KdV equation, we derive negative order forms, one for the focusing branch and the other for the defocusing form.
Wazwaz, Abdul-Majid, Xu, Gui-Qiong
openaire   +2 more sources

Two systems of two-component integrable equations: Multiple soliton solutions and multiple singular soliton solutions

Applied Mathematics and Computation, 2009
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openaire   +2 more sources

Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction

Physica Scripta, 2010
In this work, we study the modified KdV equation with first-order correction. Multiple soliton solutions and multiple singular soliton solutions are formally derived for this perturbed model. The simplified form of the bilinear method will be employed to carry out this analysis.
openaire   +1 more source

Multiple soliton and singular wave solutions with bifurcation analysis for a strain wave equation arising in microcrystalline materials

Modern Physics Letters B
A microcrystalline material refers to a crystallized substance or rock comprised of tiny crystals that can only be observed under a microscope. The strain wave equation is a fourth-order nonlinear partial differential equation encountered in the examination of non-dissipative strain wave propagation within microstructured solids.
Dean Chou, Salah Mahmoud Boulaaras, Hamood Ur Rehman, Ifrah Iqbal, Wen-Xiu Ma   +4 more
openaire   +1 more source

A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada–Kotera equation

Communications in Nonlinear Science and Numerical Simulation, 2021
Ruoxia Yao, Senyue Lou
exaly  

A note on “The integrable KdV6 equation: Multiple soliton solutions and multiple singular soliton solutions”

Applied Mathematics and Computation, 2009
Yi Zhang
exaly  

Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations

Mathematical Methods in the Applied Sciences, 2011
Abdul Majid Wazwaz
exaly  

Multiple soliton solutions for the ()-dimensional asymmetric Nizhnik–Novikov–Veselov equation

Nonlinear Analysis: Theory, Methods & Applications, 2010
Abdul Majid Wazwaz
exaly  

Multiple-soliton solutions for a (3+1)-dimensional generalized KP equation

Communications in Nonlinear Science and Numerical Simulation, 2012
Abdul Majid Wazwaz
exaly  

Regular soliton solutions and singular soliton solutions for the modified Kadomtsev–Petviashvili equations

Applied Mathematics and Computation, 2008
Abdul Majid Wazwaz
exaly