Coexistence of the solitary and periodic waves in convecting shallow water fluid

Publication date: June 2020Source: Nonlinear Analysis: Real World Applications, Volume 53Author(s): Xianbo Sun, Wentao Huang, Junning CaiAbstractThe existence of a solitary wave for the shallow water model in convecting circumstance was established in previous works. It is still unknown that whether there exist periodic waves. In this paper, we prove that the models possess periodic waves with a fixed range of wave speed. The amplitude and wave speed are explicitly given. Moreover, the coexistence of the solitary wave and one periodic wave is established.

Source: Nonlinear Analysis: Real World Applications - November 25, 2019 Category: Research Source Type: research