Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

Zhaqilao; Zhi Bin Li

doi:10.1142/S0217984908017515

Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

Zhaqilao
, Zhi Bin Li^*

^*Corresponding author for this work

School of Mathematical Sciences

Inner Mongolia Normal University China
East China Normal University

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

Original language	English
Pages (from-to)	2945-2966
Number of pages	22
Journal	Modern Physics Letters B
Volume	22
Issue number	30
DOIs	https://doi.org/10.1142/S0217984908017515
State	Published - 10 Dec 2008

Keywords

Darboux transformation
Nonlinear evolution equation
Soliton solution

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10.1142/S0217984908017515

Cite this

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title = "Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions",

abstract = "A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.",

keywords = "Darboux transformation, Nonlinear evolution equation, Soliton solution",

author = "Zhaqilao and Li, \{Zhi Bin\}",

year = "2008",

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AU - Zhaqilao,

AU - Li, Zhi Bin

PY - 2008/12/10

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N2 - A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

AB - A new (3 + 1)-dimensional nonlinear evolution equation can be decomposed into three (1 + 1)-dimensional nonlinear evolution equations. In this paper, N-soliton solution, resonant solution and complexiton solution of the (3 + 1)-dimensional nonlinear evolution equation are obtained via an N-fold Darboux transformation of the AblowitzKaupNewellSegur spectral problems.

KW - Darboux transformation

KW - Nonlinear evolution equation

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/58149250433

U2 - 10.1142/S0217984908017515

DO - 10.1142/S0217984908017515

M3 - 文章

AN - SCOPUS:58149250433

SN - 0217-9849

VL - 22

SP - 2945

EP - 2966

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 30

ER -

Darboux transformation and various solutions for a nonlinear evolution equation in (3 + 1)-dimensions

Abstract

Keywords

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