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The Travelling Wave Solutions for (2+1)-dimensional AKNS Equation 被引量:3

The Travelling Wave Solutions for (2+1)-dimensional AKNS Equation
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摘要 Based on the travelling wave method, a(2 + 1)-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic solution. It also proves that the result is consistent with the soliton solution of simplify Hirota bilinear method by Wazwaz and illustrate the solution are right travelling wave solution. Based on the travelling wave method, a(2 + 1)-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic solution. It also proves that the result is consistent with the soliton solution of simplify Hirota bilinear method by Wazwaz and illustrate the solution are right travelling wave solution.
出处 《Chinese Quarterly Journal of Mathematics》 2015年第3期323-329,共7页 数学季刊(英文版)
基金 Supported by the NSFC(10831003)
关键词 (2+1)-dimensional AKNS EQUATION SOLITON SOLUTION (2 + 1)-dimensional AKNS equation soliton solution
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