Results 161 to 170 of about 14,785 (196)

Exact chirped singular soliton solutions of Triki-Biswas equation

Optik, 2019
Abstract Triki and Biswas proposed an important generalization of the derivative nonlinear Schrodinger equation that could be a model equation of ultrashort pulse propagation in optical fiber systems beyond the Kerr limit. This paper studies the exact nonlinearly chirped singular soliton solutions of the Triki-Biswas equation with non-Kerr dispersion
Qin Zhou, Mehmet Ekici, Abdullah Sonmezoglu   +2 more
openaire   +3 more sources

Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions

Physica Scripta, 2012
We give an introduction to a new direct computational method for constructing multiple soliton solutions to nonlinear equations with variable coefficients in the Kadomtsev–Petviashvili (KP) hierarchy. We discuss in detail how this works for a generalized (3 + 1)-dimensional KP equation with variable coefficients.
H M Jaradat, Safwan Al-Shara, Fadi Awawdeh, Marwan Alquran   +3 more
openaire   +3 more sources

A (3+1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
openaire   +4 more sources

Multiple soliton solutions and multiple singular soliton solutions for the (3+1)-dimensional Burgers equations

Applied Mathematics and Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
openaire   +4 more sources

Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdul Majid Wazwaz
openaire   +3 more sources

Non‐singular complexiton, singular complexiton and complex multiple soliton solutions to the (3 + 1)‐dimensional nonlinear evolution equation

Mathematical Methods in the Applied Sciences
This research mainly concerned with some new solutions of the (3 + 1)‐dimensional nonlinear evolution equation (NEE). First, we extract the resonant multiple soliton solutions (RMSSs) by taking advantage of the linear superposition principle (LSP) and weight algorithm (WA).
Kang‐Jia Wang, Feng Shi, Peng Xu, Shuai Li   +3 more
openaire   +3 more sources

Novel singular and non-singular complexiton, interaction wave and the complex multi-soliton solutions to the generalized nonlinear evolution equation

Modern Physics Letters B
The main task of this paper is to plumb some new exact solutions of the (3 + 1)-dimensional generalized nonlinear evolution equation (gNEE) for shallow water waves. In the light of the Hirota method and symbolic computation, a novel ansatz function is proposed to develop the singular complexiton solutions.
Kang-Jia Wang, Xiao-Lian Liu, Wei-Dong Wang, Shuai Li, Hong-Wei Zhu   +4 more
openaire   +3 more sources

Multiple soliton solutions and multiple singular soliton solutions for -dimensional shallow water wave equations

Physics Letters A, 2009
Abdul Majid Wazwaz
openaire   +3 more sources

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

Multiple soliton solutions and multiple singular soliton solutions for two integrable systems

Physics Letters A, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source