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New nonautonomous combined multi-wave solutions for (\(\varvec{2+1}\))-dimensional variable coefficients KdV equation

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Abstract

A variety of new types of nonautonomous combined multi-wave solutions of the (\(2+1\))-dimensional variable coefficients KdV equation is derived by means of the generalized unified method. These solutions are classified into three categories, namely multi- soliton, periodic and elliptic solutions. The physical insight of the waves is dressed for different values of the free parameters in the obtained solutions.

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Osman, M.S., Machado, J.A.T. New nonautonomous combined multi-wave solutions for (\(\varvec{2+1}\))-dimensional variable coefficients KdV equation. Nonlinear Dyn 93, 733–740 (2018). https://doi.org/10.1007/s11071-018-4222-1

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  • DOI: https://doi.org/10.1007/s11071-018-4222-1

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