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, issue 1

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 −1. 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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https://doi.org/10.1155/2008/576783

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2008:y:2008:i:1:n:576783

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