Results 11 to 20 of about 1,181 (196)

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
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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
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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
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On the N-Solitons Solutions in the Novikov-Veselov Equation [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We construct the $N$-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the property characterizing the $N$-solitons wave function is proved using the Pfaffian expansion.
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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
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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
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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
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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
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Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Advances in Difference Equations, 2018
Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
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Direct reduction approach and soliton solutions for the integrable space–time shifted nonlocal Sasa-Satsuma equation

Results in Physics, 2023
This paper investigates the space–time shifted nonlocal Sasa-Satsuma equation which is constructed by imposing a space–time shifted symmetry constraint on the two-component Sasa-Satsuma system.
Wen-Xin Zhang, Yaqing Liu
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