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A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation 被引量:3

A Generalized Variable-Coefficient Algebraic Method Exactly Solving (3+1)-Dimensional Kadomtsev-Petviashvilli Equation
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摘要 A generalized variable-coefficient algebraic method is appfied to construct several new families of exact solutions of physical interest for (3+1)-dimensional Kadomtsev-Petviashvilli (KP) equation. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with the existing tanh method, the extended tanh method, the Jacobi elliptic function method, and the algebraic method, the proposed method gives new and more general solutions.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期821-826,共6页 理论物理通讯(英文版)
基金 中国科学院资助项目,山东省自然科学基金
关键词 generalized variable-coefficient algebraic method (3+1)-dimensional KP equation exact explicit solutions 三维KP方程 变量系数 代数法 精确解 椭圆周期函数
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