New dark-bright soliton in the shallow water wave model
Gülnur Yel, Hacı Mehmet Başkonuş, Wei Gao
Abstract
In this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the Benney-Luke equations. We construct many new complex combined dark-bright soliton, anti-kink soliton solutions for the governing models. The 2D, 3D and contour plots are given under the suitable coefficients. The obtained results show that the approach proposed for these completely integrable equations can be used effectively.
Topics & Concepts
Integrable systemSolitonWaves and shallow waterSineMathematical physicsConstruct (python library)PhysicsSine waveMathematical analysisMathematicsGeometryQuantum mechanicsComputer scienceNonlinear systemThermodynamicsProgramming languageVoltageNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions