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Interaction of lump wave with kink soliton solutions of a (3+1)-dimensional nonlinear evolution equation via hirota bilinear method

Author:

Azizur Rahman, Harun-Or-Roshid and Md. Fazlul Hoque

Subject Area:

Physical Sciences and Engineering

Abstract:

In this paper, we reveal a (3+1)-dimensional nonlinear evolution equation to determine interaction between lump waves and kink soliton. In this regard, we cast the model into it Hirota bilinear form firstly. We offer periodic lump wave through a test function in-terms of exponential and periodic cosine functions. We also consider test function as a combination of a general quadratic polynomial with exponential function to reveal interaction of lump wave and kink soliton. Finally, the interactions of solitary waves and lump waves are presented with an entire analytic derivation. Some graphs are incorporated to visualize the dynamics of the obtained wave solutions.

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