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arXiv · 2211.15870

Traveling wave solutions of the generalized scale-invariant analogue of the KdV equation by tanh-coth method

O. Gonzalez-Gaxiola·J. Ruiz de Chavez
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Abstract

In this work, the generalized scale-invariant analogue of the Korteweg-de Vries (gsiaKdV) equation is studied. For the first time, the tanh-coth methodology is used to find traveling wave solutions for this nonlinear equation. The considered generalized equation is a connection between the well-known KdV equation and the recently investigated SIdV equation. The obtained results show many families of solutions for the model, indicating that this equation also shares bell-shaped solutions with KdV and SIdV, as previously documented by other researchers. Finally, by executing the symbolic computation, we demonstrate that the employed technique is a valuable and effective mathematical tool that can be used to solve problems that arise in the cross-disciplinary nonlinear sciences and applied mathematics.

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O. Gonzalez-Gaxiola, J. Ruiz de Chavez. 2022-11-29. Traveling wave solutions of the generalized scale-invariant analogue of the KdV equation by tanh-coth method. https://arxiv.org/abs/2211.15870

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