Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method

Autor: Hossein Aminikhah, Amir Hosein Refahi Sheikhani, Hadi Rezazadeh
Jazyk: English<br />Portuguese
Rok vydání: 2016
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 34, Iss 2, Pp 213-229 (2016)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.v34i2.25501
Popis: In this paper, we will use the functional variable method to construct exact solutions of some nonlinear systems of partial differential equations, including, the (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation, the WhithamBroer-Kaup-Like systems and the Kaup-Boussinesq system. This approach can also be applied to other nonlinear systems of partial differential equations which can be converted to a second-order ordinary differential equation through the travelling wave transformation.
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