两类(2+1)-维孤子方程的显式解

Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 45-49.

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Explicit Solutions of Two (2+1)-dimensional Soliton Equations

MA Yun-ling^1,2, GENG Xian-guo¹

1.Department of Mathematics,Zhengzhou University,Zhengzhou Henan 450052,China;
2.Department of Mathematics,Shangqiu Normal University,Shangqiu Henan 476000,China

Received:2011-01-05 Published:2018-11-19

Abstract

Abstract: Using bilinear method and with the aid of the (1+1)-dimensional equation,explicit solutions of two (2+1)-dimensional soliton equations are discussed and studied.Some explicit solutions of these equations areobtained,including one-soliton solution,two-soliton solution and N-soliton solution.A systematic procedure is given in detail to solve N-solitonsolution of the (2+1)-dimensional soliton equation.

Key words: (2+1)-dimensional soliton equation, bilinear method, bilinear form, soliton solution

CLC Number:

O175.29

MA Yun-ling, GENG Xian-guo. Explicit Solutions of Two (2+1)-dimensional Soliton Equations[J].Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(2): 45-49.

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