New groups of solutions to the Whitham-Broer-Kaup equation-Reference-Cited by-同舟云学术

New groups of solutions to the Whitham-Broer-Kaup equation

Published:2020-10-17 Issue:11 Volume:41 Page:1735-1746
ISSN:0253-4827
Container-title:Applied Mathematics and Mechanics
language:en
Short-container-title:Appl. Math. Mech.-Engl. Ed.

Author:

Wang Yaji,Xu Hang,Sun Q.

Abstract

AbstractThe Whitham-Broer-Kaup model is widely used to study the tsunami waves. The classical Whitham-Broer-Kaup equations are re-investigated in detail by the generalized projective Riccati-equation method. 20 sets of solutions are obtained of which, to the best of the authors’ knowledge, some have not been reported in literature. Bifurcation analysis of the planar dynamical systems is then used to show different phase portraits of the traveling wave solutions under various parametric conditions.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Link

https://link.springer.com/content/pdf/10.1007/s10483-020-2683-7.pdf

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