Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation

Author:

Kudryashov N. A.,Soukharev M. B.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference40 articles.

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2. Zakharov, V.E. and Shabat, A.B., A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem, Funktsional. Anal. i Prilozhen., 1974, vol. 8, no. 3, pp. 43–53 [Funct. Anal. Appl., 1974, vol. 8, pp. 226–235].

3. Zakharov, V.E. and Shabat, A.B., A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem. II, Funktsional. Anal. i Prilozhen., 1974, vol. 13, no. 3, pp. 13–22 [Funct. Anal. Appl., 1974, vol. 13, pp. 166–174].

4. Hirota, R., Exact Solution of the Korteweg-de Vries Equation for Multiple Collisions of Solitons, Phys. Rev. Lett., 1971, vol. 27, pp. 1192–1194.

5. Olver, P.J., Applications of Lie Groups to Differential Equations, New York: Springer-Verlag, 1993.

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