Author:
Zhang Qiuyan,Zhou Yuqian,Li Jibin,Yu Mengke
Abstract
AbstractIn this paper, we consider the nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including peakon, periodic peakon, solitary wave solutions and compactons) under different parameter conditions.
Funder
National Natural Science Foundation of China
Sichuan Natural Science Foundation
the General Projects of Local Science Technology Development Funds Guided by the Central Government
the Key Project of Scientific Research and Innovation Team of Chengdu University of Information Technology
the Talent Introduction Program of Chengdu University of Information Technology
Sichuan Province Science and Technology Support Program
Publisher
Springer Science and Business Media LLC
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