Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces (Q1009369)
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scientific article; zbMATH DE number 5538031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces |
scientific article; zbMATH DE number 5538031 |
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Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces (English)
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31 March 2009
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Summary: 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.
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KdV-Burgers-Kuramoto equation
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nonlinear Schrödinger equation
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pseudospherical surfaces
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