广义Benjamin-Bona-Mahony方程的孤波与Jacobi椭圆波解
斑图形成与孤子
2017-02-01 v1 可精确求解与可积系统
摘要
本文将从任意幂律非线性广义Benjamin-Bona-Mahony方程构造精确的亮、暗、反扭结孤波以及Jacobi椭圆函数解。用于执行积分的方法是F展开法。所获得的解具有分数及整数负或正幂律非线性。这些解具有许多自由参数,从而可用于模拟许多实验情形,并精确控制系统的动力学。
引用
@article{arxiv.1701.08850,
title = {Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation},
author = {Didier Belobo Belobo and Tapas Das},
journal= {arXiv preprint arXiv:1701.08850},
year = {2017}
}
备注
15 pages, 12 figures. Published version has 8 pages with few changes according to Journal style, Communication in Nonlinear Science and Numerical Simulation-2017