Abstract
In this article, we use the Hirota bilinear method. With the help of the symbolic calculation and applying the used method, we solve the (2+1)-dimensional Breaking Soliton (BS) equation. We obtain some interaction between lump soliton and solitary wave, the interaction between lump soliton and periodic wave, breather-type periodic soliton, periodic kink-wave, kink-soliton wave, and solitary wave solutions. All solutions have been verified back into its corresponding equation with the aid of Maple package program. The graphical representation of the solution is given by Maple and physically interpreted. The obtained results are useful in gaining the understanding of the various nonlinear scenarios in fluid dynamics and also the dynamics of higher dimensional nonlinear wave fields related to mathematical physics and engineering sciences.
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