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摘要: |
本文研究了Burgers-KPP方程显示精确解的问题.通过以(G'/G)展开法为基础,提出了一种满足变系数方程的G展开法,利用此类展开法对Burgers-KPP方程进行了求解,获得了该方程多个新的三角函数形式和双曲函数形式的显式行波解,丰富了方程解的范围. |
关键词: Burgers-KPP方程 变系数方程 G展开法 精确解 |
DOI: |
分类号:O175.29 |
基金项目:海南省自然科学基金 (117066); 国家自然科学基金 (11601109); 海南省科协青年科技英才学术创新计划项目 (201503). |
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NEW EXACT SOLUTIONS FOR BURGERS-KPP EQUATIONS |
WANG Xin
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Abstract: |
In this paper, we study the explicit and exact solutions of the Burgers-KPP equation. Based on the (G'/G) expansion method, we construct a kind of G expansion method for satisfying a class of variable coefficient equations. The Burgers-KPP equation is solved by this kind of expansion method, several new explicit traveling wave solutions of trigonometric functions and hyperbolic functions are obtained, which enrich the scope of the solutions of the equation. |
Key words: Burgers-KPP equations variable coefficient equations G expansion method exact solutions |