(2 + 1)维色散的长波方程的新精确解
New Exact Solutions for (2 + 1)-Dimensional Dispersive Long Wave Equation
摘要: 利用一种基于符号计算的代数方法,结合Maple环境中的Epsilon软件包,求解(2 + 1)维色散的长波方程,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括孤波解、三角函数解、双曲函数解。
Abstract: The algebraic method, based on the symbolic computation, has been applied to study new traveling wave solutions for (2 + 1)-dimensional dispersive long wave equations by means of Epsilon package in Maple. More new explicit travelling wave solutions are obtained, which contain solitons, hyperbola function solutions and triangular periodic solutions.
文章引用:傅海明. (2 + 1)维色散的长波方程的新精确解[J]. 理论数学, 2018, 8(6): 589-595. https://doi.org/10.12677/PM.2018.86079

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