Browsing by Author "Das, Amiya"
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A (2+1)-dimensional combined KdV�mKdV equation: integrability, stability analysis and soliton solutions
Malik, Sandeep; Kumar, Sachin; Das, Amiya (Springer Science and Business Media B.V., 2022-01-10)In this study, the (2+1)-dimensional combined Korteweg�de Vries and modified Korteweg�de Vries equation has been considered for the first time. Firstly, we check the integrability of the governing equation. Then, we generate ... -
A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions
Mandal, Uttam Kumar; Malik, Sandeep; Kumar, Sachin; Das, Amiya (Springer Science and Business Media B.V., 2022-11-11)In this paper, we consider an extended form of generalized (2 + 1) -dimensional Hirota bilinear equation which demonstrates nonlinear wave phenomena in shallow water, oceanography and nonlinear optics. We have successfully ...