Analytical study of solitons for the variant Boussinesq equations

作者：Gao, Hui; Xu, Tianzhou; Yang, Shaojie; Wang, Gangwei^*

来源：Nonlinear Dynamics, 2017, 88(2): 1139-1146.

DOI：10.1007/s11071-016-3300-5

• Variant Boussinesq equations
• Traveling wave hypothesis
• Kink soliton
• Bell-shaped solitary wave
• Waveform change

In this paper, two useful methods that are traveling wave hypothesis and auxiliary function method are constructed new periodic solution, kink soliton solution and bell-shaped solitary wave solution of the variant Boussinesq equations. The existence conditions are given. A pair of solitary wave solutions via the traveling wave hypothesis is mainly studied: the waveform change and the nature of the analysis depending on the choice of solitonic parameters. A new physical phenomenon occurring in this system is the waveform of each soliton gets change or recovery under different parameters, which might provide us with a different approach of load information transfer.

• 出版日期2017-4
• 单位北京理工大学