New infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system

Abstract

Abstract:

To construct the new infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system, first, the new auxiliary equation that can be changed to the Riccati equation and its new solutions are presented, then the new solutions, B?cklund transformation and the nonlinear superposition formula of solutions of the Riccati equation are presented. Depending on these and with the help of Mathematica, the new infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system are constructed. The solutions are consisting of exponential function, trigonometric function and rational function.

Key words: nonlinear equation, auxiliary equation, (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system, new infinite sequence soliton-like solutions

CLC Number:

O175.29

Li Ning, Taogetusang. New infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system[J]. J4, 2015, 32(4): 414-418.

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New infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system

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