CRE方法在修正耦合KdV方程中的应用  

Application of CRE Method in Modified Coupled KdV Equation

作　　者：史婷婷 Shi Tingting(School of Mathematics,Northwest Universityy Xi'an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《南开大学学报（自然科学版）》2022年第1期1-7,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：国家自然科学基金(11775047)。

摘　　要：通过一致Riccati展开法证明修正耦合KdV方程的CRE可解性,结合方程相容性条件的不同形式的解,构造修正耦合KdV方程的新的相互作用解,并通过选取适当参数给出相应解的结构图.研究结果丰富了修正耦合KdV方程的精确解的类型.The CRE solvability of the modified coupled Kd V equation is proved by the consistent Riccati expansion method,and the new interaction solutions of the modified coupled Kd V equation are constructed by combining the solutions of different forms of the compatibility conditions of the equation,and the structure diagram of the corresponding solution is given by selecting appropriate parameters.The results enrich the types of exact solutions of the modified coupled Kd V equation.

关 键 词：一致Riccati展开法 修正耦合KdV方程 相互作用解 

分 类 号：O175[理学—数学]