Bäcklund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order

Yong Chen; Biao Li; Hong Qing Zhang

doi:10.1088/0253-6102/39/2/135

Bäcklund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order

Yong Chen^*
, Biao Li
, Hong Qing Zhang

^*Corresponding author for this work

Dalian University of Technology

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

29 Scopus citations

Abstract

In this paper, with the help of symbolic computation, a new Bäcklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, u_t+au^pu_x+bu^2pu_x+γu _xy-δu_xxx+ρu_xyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.

Original language	English
Pages (from-to)	135-140
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	39
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/39/2/135
State	Published - 15 Mar 2003
Externally published	Yes

Keywords

Bäcklund transformation
Explicit exact solution
Generalized Zakharov-Kuznetsov equation
Homogeneous balance method
Mathematica
Symbolic computation

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10.1088/0253-6102/39/2/135

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title = "B{\"a}cklund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order",

abstract = "In this paper, with the help of symbolic computation, a new B{\"a}cklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux+bu2pux+γu xy-δuxxx+ρuxyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.",

keywords = "B{\"a}cklund transformation, Explicit exact solution, Generalized Zakharov-Kuznetsov equation, Homogeneous balance method, Mathematica, Symbolic computation",

author = "Yong Chen and Biao Li and Zhang, \{Hong Qing\}",

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AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hong Qing

PY - 2003/3/15

Y1 - 2003/3/15

N2 - In this paper, with the help of symbolic computation, a new Bäcklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux+bu2pux+γu xy-δuxxx+ρuxyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.

AB - In this paper, with the help of symbolic computation, a new Bäcklund transformation (BT) for a new generalized Zakharov-Kuznetsov equation with nonlinear term of any order, ut+aupux+bu2pux+γu xy-δuxxx+ρuxyy= 0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.

KW - Bäcklund transformation

KW - Explicit exact solution

KW - Generalized Zakharov-Kuznetsov equation

KW - Homogeneous balance method

KW - Mathematica

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/0037821752

U2 - 10.1088/0253-6102/39/2/135

DO - 10.1088/0253-6102/39/2/135

M3 - 文章

AN - SCOPUS:0037821752

SN - 0253-6102

VL - 39

SP - 135

EP - 140

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 2

ER -

Bäcklund transformation and exact solutions for a new generalized Zakharov-Kuzentsov equation with nonlinear terms of any order

Abstract

Keywords

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