Dynamic behaviors for a perturbed nonlinear Schrödinger equation with the power-law nonlinearity in a non-Kerr medium
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- 作者：Jun Chai chaijun0628@bupt.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Bo Tian ; tian_bupt@163.com" class="auth_mail" title="E-mail the corresponding author ; Hui-Ling Zhen ; Wen-Rong Sun ; De-Yin Liu
- 关键词：Perturbed nonlinear Schrö ; dinger equation with the power-law nonlinearity ; Planar dynamic system ; Phase portraits ; Analytic solutions
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：45
- 期：Complete
- 页码：93-103
- 全文大小：1365 K
文摘
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A perturbed nonlinear Schrödinger equation with the power law nonlinearity is studied from the planar-dynamic system viewpoint.
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Through the qualitative and bifurcation analysis, phase portraits of the dynamic system are given.
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Relations among the Hamiltonian, orbits of the dynamic system and types of the analytic solutions are discussed.
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The equation possesses the periodic-wave solutions, kink- and bell-shaped solitary-wave solutions.
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A periodic wave can reduce to a solitary wave under a Hamiltonian-dependent limiting condition.