Abstract
In this article, a new version of extended F-expansion method is suggested. A multiple Jacobi elliptic functions are presented in the solution function. We achieve analytical solutions of the (1 + 1)-dimensional dispersive long wave (DLW) equation and (2 + 1)-dimensional Kadomtsev–Petviashvili (KP) equation using the new version of extended F-expansion method. Then, the single and the combined non-degenerative Jacobi elliptic function solutions and their degenerate solutions to the above-mentioned class of nonlinear evolution equations are obtained.
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Significance Statement
In this study, we attempted to construct a more general expression of the F-expansion methods such as improved F-expansion method, generalized F-expansion method, extended F-expansion method that found earlier analytical solutions. Through our proposed method, we have obtained more general solutions of the results from the other methods.
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Pandir, Y., Turhan, N. Multiple Soliton Solutions for Nonlinear Differential Equations with a New Version of Extended F-Expansion Method. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 91, 495–501 (2021). https://doi.org/10.1007/s40010-020-00687-9
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DOI: https://doi.org/10.1007/s40010-020-00687-9