Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

doi:10.1088/1674-1056/19/4/040304

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40304-040304.doi: 10.1088/1674-1056/19/4/040304

Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

吴勇旗

Mathematics and Computational Science School, Zhanjiang Normal University, Zhanjiang 524048, China

收稿日期:2009-08-26 修回日期:2009-09-15 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the Science Research Foundation of Zhanjiang Normal University (Grant No.~L0803).

Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

Wu Yong-Qi(吴勇旗)^†

Mathematics and Computational Science School, Zhanjiang Normal University, Zhanjiang 524048, China

Received:2009-08-26 Revised:2009-09-15 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the Science Research Foundation of Zhanjiang Normal University (Grant No.~L0803).

摘要/Abstract

摘要： The bilinear form of two nonlinear evolution equations are derived by using Hirota derivative. The B\"{a}cklund transformation based on the Hirota bilinear method for these two equations are presented, respectively. As an application, the explicit solutions including soliton and stationary rational solutions for these two equations are obtained.

Abstract: The bilinear form of two nonlinear evolution equations are derived by using Hirota derivative. The B?cklund transformation based on the Hirota bilinear method for these two equations are presented, respectively. As an application, the explicit solutions including soliton and stationary rational solutions for these two equations are obtained.

Key words: Hirota method, B?cklund transformation, soliton solution

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

吴勇旗. Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation[J]. 中国物理B, 2010, 19(4): 40304-040304.

Wu Yong-Qi(吴勇旗). Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation[J]. Chin. Phys. B, 2010, 19(4): 40304-040304.

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Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

Bilinear B?cklund transformation and explicit solutions for a nonlinear evolution equation

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