Geometry of Boiti-Leon-Manna-Pempinelli Equation

New Exact Solutions for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli Equation

By using the modified Clarkson-Kruskal (CK) direct method, we construct a Bäcklund transformation of (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation. Through Bäcklund transformation , we get some new solutions of the BLMP equation, extend the results of previous literature.

Stair and Step Soliton Solutions of the Integrable (2+1) and (3+1)-Dimensional Boiti—Leon—Manna—Pempinelli Equations

The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper, using computer algebra systems, we apply the multiple exp-function method to construct the exact multiple wave solutions of a (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equati...

Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations

We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex...

An extended (G′/G)− expansion method and its applications to the (2+1)-dimensional nonlinear evolution equations

By using an extended ( ′ G )-expansion method, we construct the traveling wave solutions of the (2+1)dimensional Painleve integrable Burgers equations, the (2+1)-dimensional Nizhnik-Novikov-Veselov equations, the (2+1)-dimensional Boiti-Leon-Pempinelli equations and the (2+1)-dimensional dispersive long wave equations, where G satisfies the second order linear ordinary differential equation. By...

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