Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
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Shateri, Majid, Ganji, D.D. (2010)
International Journal of Differential Equations
Ibrahim, Rabha W. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Boyadjiev, Lyubomir, Al-Saqabi, Bader (2012)
Mathematica Balkanica New Series
MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions....
Povstenko, Y.Z. (2011)
Advances in Difference Equations [electronic only]
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