New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system
New exact Jacobi elliptic functions solutions for the generalized coupled Hirota-Satsuma KdV system
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DOI：
10.1016/j.amc.2010.05.079
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发表时间：
2010-09
期刊：
影响因子：
--
通讯作者：
Baojian Hong
中科院分区：
文献类型：
--
作者：
Baojian Hong
本文利用计算机符号计算的广义Jacobi椭圆函数展开方法，构造了广义耦合Hirota-SatSuma KdV系统的新的精确Jacobi椭圆函数解。结果表明，当雅可比椭圆函数的模m→为1或0时，该方法得到了8类新的双周期解，其中一些在极限情况下退化为孤立波解和三角函数解，表明该方法具有更强的计算能力，可用于进一步建立数学物理中出现的其他类型的非线性偏微分方程解.
In this paper, an generalized Jacobi elliptic functions expansion method with computerized symbolic computation is used for constructing more new exact Jacobi elliptic functions solutions of the generalized coupled Hirota–Satsuma KdV system. As a result, eight families of new doubly periodic solutions are obtained by using this method, some of these solutions are degenerated to solitary wave solutions and triangular functions solutions in the limit cases when the modulus of the Jacobi elliptic functions m→1 or 0, which shows that the applied method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.