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Nonlocal symmetry, CRE solvability and soliton–cnoidal solutions of the ($$2+1$$2+1)-dimensional modified KdV-Calogero–Bogoyavlenkskii–Schiff equation

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In this paper, a modified KdV-CBS equation is investigated by using the truncated Painlevé expansion and consistent Riccati expansion method, respectively. It is shown that the modified KdV-CBS equation has… Click to show full abstract

In this paper, a modified KdV-CBS equation is investigated by using the truncated Painlevé expansion and consistent Riccati expansion method, respectively. It is shown that the modified KdV-CBS equation has a nonlocal symmetry related to the residue of its truncated Painlevé expansion. It is also proved that the modified KdV-CBS equation is consistent Riccati expansion solvable. Furthermore, with the help of the consistent Riccati expansion method, the soliton–cnoidal wave interaction solutions are explicitly given.

Keywords: nonlocal symmetry; expansion; soliton cnoidal; modified kdv; equation

Journal Title: Nonlinear Dynamics
Year Published: 2017

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