B&auml;cklund Transformation and Exact Solutions for a New Generalized
Zakharov-Kuzentsov Equation with Nonlinear Terms of Any Order

CHEN Yong; LI Biao; ZHANG Hong-Qing

Bäcklund Transformation and Exact Solutions for a New Generalized Zakharov-Kuzentsov Equation with Nonlinear Terms of Any Order

CHEN Yong, LI Biao, and ZHANG Hong-Qing

Communications in Theoretical Physics ›› 2003, Vol. 39 ›› Issue (02) : 135-140.

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Communications in Theoretical Physics ›› 2003, Vol. 39 ›› Issue (02) : 135-140.

Bäcklund Transformation and Exact Solutions for a New Generalized Zakharov-Kuzentsov Equation with Nonlinear Terms of Any Order

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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+ρ u_xyy=0, is obtained by using the homogeneous balance method. Based on the BT, some exact solutions are presented.

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Bäcklund transformation / homogeneous balance method / generalized Zakharov-Kuznetsov equation / explicit exact solution / symbolic computation / mathematica

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CHEN Yong, LI Biao, ZHANG Hong-Qing. Bäcklund Transformation and Exact Solutions for a New Generalized Zakharov-Kuzentsov Equation with Nonlinear Terms of Any Order[J]. Communications in Theoretical Physics, 2003, 39(02): 135-140