Results 11 to 20 of about 40,499 (216)

M-lump, N-soliton solutions, and the collision phenomena for the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

Results in Physics, 2020
In this work, N-soliton waves, fusion solutions, mutiple M-lump solutions and the collision phenomena between one-M-lump and one-, two-soliton solutions to the (2 + 1)-dimensional Date-Jimbo-Kashiwara-Miwa equation are successfully revealed.
Hajar F. Ismael, Hasan Bulut, Choonkil Park, M.S. Osman   +3 more
doaj   +3 more sources

Breathers, Transformation Mechanisms and Their Molecular State of a (3+1)-Dimensional Generalized Yu–Toda–Sasa–Fukuyama Equation

Mathematics, 2023
A (3+1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation is considered systematically. N-soliton solutions are obtained using Hirota’s bilinear method.
Jian Zhang, Juan Yue, Zhonglong Zhao, Yufeng Zhang   +3 more
doaj   +1 more source

Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds

Scientific Reports, 2022
The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N ...
Lu Wang, Li Li, Fajun Yu
doaj   +1 more source

Morphogenesis of sliced N-soliton solutions

Nuclear Physics B, 1976
Consider an instantaneous severing interaction which at t = ts transforms is given N-soliton solution q0 into two new solutions, qL and qR, with discontinuous anitial conditions at t = ts such that qL(qR) is equal to q0 to the left (right) of the severing point xs and vanishes to the right (left) of xs.
George R. Bart, Stanley Fenster
openaire   +1 more source

Solitons in 4d Wess-Zumino-Witten models -- Towards unification of integrable systems -- [PDF]

Open Communications in Nonlinear Mathematical Physics
We construct soliton solutions of the four-dimensional Wess-Zumino-Witten (4dWZW) model in the context of a unified theory of integrable systems with relation to the 4d/6d Chern-Simons theory.
Masashi Hamanaka, Shan-Chi Huang
doaj   +1 more source

Darboux transformation and dark vector soliton solutions for complex mKdV systems

Partial Differential Equations in Applied Mathematics, 2021
A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system.
Rusuo Ye, Yi Zhang, Wen-Xiu Ma
doaj   +1 more source

Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies [PDF]

, 2006
We study exact multi-soliton solutions of integrable hierarchies on noncommutative space-times which are represented in terms of quasi-determinants of Wronski matrices by Etingof, Gelfand and Retakh.
A. Dimakis, A. Dimakis, B. Kupershmidt, B.F. Samsonov, B.G. Konopelchenko, C.-S. Chu, I.M. Gelfand ., J.A. Harvey, J.E. Moyal, J.J.C. Nimmo, K. Toda, K. Ueno, L. Tamassia, L.A. Dickey, L.D. Paniak, M. Błaszak, M. Hamanaka, M. Hamanaka, M. Hamanaka, M. Sakakibara, M. Sakakibara, Masashi Hamanaka, N. Marcus, O. Babelon, O. Lechtenfeld, O. Lechtenfeld, O. Lechtenfeld, P. Etingof, P. Etingof, R. S. Ward, R.J. Szabo, V.M. Goncharenko   +31 more
core   +3 more sources

The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation

Advances in Mathematical Physics, 2021
An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiying Chen, Xiangpeng Xin, Feng Zhang
doaj   +1 more source

The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3 + 1 Dimensional Jimbo-Miwa Equation

Advances in Mathematical Physics, 2016
The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary ...
Hongwei Yang, Yong Zhang, Xiaoen Zhang, Xin Chen, Zhenhua Xu   +4 more
doaj   +1 more source

Soliton, breather, lump and their interaction solutions of the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation

Advances in Difference Equations, 2019
In this work, the ( 2+1 $2+1$)-dimensional asymmetrical Nizhnik–Novikov–Veselov equation is investigated. Hirota’s bilinear method is used to determine the N-soliton solutions for this equation, from which the M-lump solutions are obtained by using long ...
Yaqing Liu, Xiao-Yong Wen
doaj   +1 more source