We apply the AKNS hierarchy to derive the generalized KdV equation andthe generalized modified KdV equation with variable-coefficients. We system-atically derive new exact solutions for them. The solutions turn out to beexpressible in terms of doubly-periodic Jacobian elliptic functions.

Periodical:

International Journal of Advanced Research in Mathematics (Volume 6)

Pages:

32-41

Citation:

S. Das and D. Ghosh, "AKNS Formalism and Exact Solutions of KdV and Modified KdV Equations with Variable-Coefficients", International Journal of Advanced Research in Mathematics, Vol. 6, pp. 32-41, 2016

Online since:

September 2016

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

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Cited By:

[1] V. Serkin, T. Belyaeva, "Novel conditions for soliton breathers of the complex modified Korteweg–de Vries equation with variable coefficients", Optik, Vol. 172, p. 1117, 2018

DOI: https://doi.org/10.1016/j.ijleo.2018.07.139