Trajectory Equation of a Lump Before and After Collision with Other Waves for(2+1)-Dimensional Korteweg-de Vries-Sawada-Kotera-Ramani Equation
In this paper,we firstly employ the Hirota bilinear method to investigate multi-soliton solutions of the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani(KdVSKR)equation.Sub-sequently,a series of hybrid solutions of lump with line waves,breather waves,and lumps are derived for the KdVSKR equation utilizing the long wave limit method.Then,according to the characteristics of a lump wave moving along a straight line,the trajectory equation,phase shift,and wave peak of a lump before and after collision with line wave,breather wave and lump wave are obtained by approximating the solution of KdVSKR equation along some parallel orbits at infinity.Furthermore,the above situation is further generalized to encompass collisions between the lump wave and an arbitrary number of line waves,arbitrary-order breather waves,and arbitrary-order lump waves.Finally,the elastic collision between lump wave and other nonlinear waves was verified,and relevant images depicting the collision process were plotted.
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