Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method
Aminikhah, Hossein ; Refahi Sheikhani, Amir Hosein ; Rezazadeh, Hadi
Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2015-01-01
DOI : https://doi.org/10.5269/bspm.v34i2.25501 
@article{25501,
     title = {Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {34},
     year = {2015},
     doi = {10.5269/bspm.v34i2.25501},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/25501}
}

Aminikhah, Hossein; Refahi Sheikhani, Amir Hosein; Rezazadeh, Hadi. Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i2.25501. http://gdmltest.u-ga.fr/item/25501/