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(2+1)维sine-Gordon方程的孤子解(英文) 被引量:1

Soliton Solutions of(2+1)-Dimensional Sine-Gordon Equation
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摘要 应用exp-函数法求得(2+1)维sine-Gordon方程的单孤子解、双孤子解、三孤子解,通过选取适当的参数,分别做出了单孤子解、双孤子解、三孤子解的函数图像,刻画了解的结构和性质.实践证明,应用exp-函数法研究非线性偏微分方程具有十分重要的作用和意义. The single-soliton solution, the double-soliton solution and the three-soliton solution for the (2+1)-dimensional sine-Gordon equation are obtained by using the exp-function method. By choosing the appropriate parameters, the singlesoliton solution, the double-soliton solution and the three-soliton solution are respectively obtained, and the structure and properties of the solutions are described. The results show that the application of exp-funetion method plays an important role and significance in the study of nonlinear partial differential equations.
出处 《应用数学》 CSCD 北大核心 2017年第4期828-834,共7页 Mathematica Applicata
基金 Supported by the Guizhou Province Department of Education Youth Science and Technology Talent Growth Project(Guizhou Education KY word[2016]304)
关键词 exp-函数法 (2+1)维sine-Gordon方程 孤子解 Expfunction method (2+1)-dimensional sine-Gordon equation Solitonsolution
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