Travelling Wave Solutions for the KdV-Burgers-Kuramoto andNonlinear Schrödinger Equations WhichDescribe Pseudospherical Surfaces

[摘要] We use the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudosphericalsurfaces 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.

[学科分类] 应用数学