Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+1)-dimensions
Hajar F. Ismael, Aly R. Seadawy, Hasan Bulut
Abstract
In this paper, we consider the shallow water wave model in the (2+1)-dimensions. The Hirota simple method is applied to construct the new dynamics one-, two-, three-, [Formula: see text]-soliton solutions, complex multi-soliton, fusion, and breather solutions. By using the quadratic function, the one-lump, mixed kink-lump and periodic lump solutions to the model are obtained. The Hirota bilinear form variable of this model is derived at first via logarithmic variable transform. The physical phenomena to this model are explored. The obtained results verify the proposed model.
Topics & Concepts
BreatherLogarithmSolitonQuadratic equationBilinear formBilinear interpolationOne-dimensional spaceSimple (philosophy)Mathematical analysisQuadratic functionVariable (mathematics)PhysicsMathematicsQuantum mechanicsNonlinear systemGeometryEpistemologyPhilosophyStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions