Travelling Wave Solutions for the KdV-Burgers-Kuramoto and Nonlinear Schrödinger Equations Which Describe Pseudospherical Surfaces

S. M. Sayed, O. O. Elhamahmy and G. M. Gharib

Journal of Applied Mathematics, 2008, vol. 2008, 1-10

Abstract:

We use the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations with constant Gaussian curvature . Travelling wave solutions for the above equations are obtained by using a sech-tanh method and Wu's elimination method.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:576783

DOI: 10.1155/2008/576783

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