Breather, multi-shock waves and localized excitation structure solutions to the Extended BKP-Boussinesq equation
Document Type
Article
Publication Date
10-1-2021
Abstract
The extended BKP-Boussinesq equation is considered to construct abundant breather waves, multi-shocks waves and localized excitation solutions. We first transform the origi-nal model to its bilinear form through a logarithmic transformation relation. Then, by set-ting a simple ansatz as a combinations of exponential and sinusoidal functions to obtain various breather waves solutions. We successfully archive five types of breather waves and depict graphically. Taking Burger model as an auxiliary equation, we derive multi-shock waves solutions to illustrate the overtaking collisions and energy distribution of the ex-tended model sufficiently. Finally, we keep a simple variable separable ansatz solution to derive localized excitation structures of the model. Most of these solutions are found for the first time. Furthermore, the results disclose that the new approaches are very direct, elementary, effective and can be used for many other NLPDEs, which develop the various types of dynamical properties of any wave model. (c) 2021 Elsevier B.V. All rights reserved.
Keywords
The extended BKP-Boussinesq equation, Breather wave, Shock wave, Localized excitation solutions
Divisions
Science
Publication Title
Communications in Nonlinear Science and Numerical Simulation
Volume
101
Publisher
Elsevier
Publisher Location
RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS