Abstract:This paper focuses on the integrability and exact solutions of a (2+1)-dimensional variable coefficient Korteweg-de Vries equation. The bilinear form, B äcklund transformations, and Lax pair of this equation are obtained using the Bell polynomial method. Soliton solutions, including lump solitons, breather solitons, and hybrid solutions, are constructed by assuming different auxiliary functions in the bilinear ansatz method. Additionally, the soliton solutions are presented as figures for different variable coe… Show more
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