Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Netherlands
Abstract
The variable coefficient KdV system is investigated for nonclassical symmetries using compatibility method, and more general symmetries are reported. Several inequivalent reductions are obtained using optimal system of subalgebras, and using well-known methodologies, several traveling wave solutions are also obtained for every reduction. ? 2016, Springer Science+Business Media Dordrecht.
Description
Keywords
Dynamics, Mechanical engineering, Compatibility methods, Coupled KdV system, KdV system, Similarity solution, Subalgebras, Symmetry analysis, Traveling wave solution, Variable coefficients, Algebra
Citation
Gupta, R. K., & Singh, M. (2017). Nonclassical symmetries and similarity solutions of variable coefficient coupled KdV system using compatibility method. Nonlinear Dynamics, 87(3), 1543-1552. doi: 10.1007/s11071-016-3132-3