Surface gravity waves of the Boussinesq equation

Autor:	Kaptsov, O. V., Kaptsov, D. O.
Jazyk:	ruština
Rok vydání:	2018
Předmět:	Physics - Fluid Dynamics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	This article is devoted to exact solutions of the Boussinesq equation that models nonlinear shallow water waves. For this we use the Hirota bilinear method and differential constrains. Out solutions describe in particular the motion of the wave packets, waves on soliton and "dancing" waves. We present a simple method for multiplication of solutions of the Hirota equation which allow us to generate more complex structures from the waves. Comment: in Russian
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.08401 Zobrazit plný text záznamu View this record from Arxiv