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2014 A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results
Yan Zhao, Weiguo Zhang
J. Appl. Math. 2014: 1-19 (2014). DOI: 10.1155/2014/935915

Abstract

This paper is focused on studying approximate damped oscillatory solutions of the compound KdV-Burgers-type equation with nonlinear terms of any order. By the theory and method of planar dynamical systems, existence conditions and number of bounded traveling wave solutions including damped oscillatory solutions are obtained. Utilizing the undetermined coefficients method, the approximate solutions of damped oscillatory solutions traveling to the left are presented. Error estimates of these approximate solutions are given by the thought of homogeneous principle. The results indicate that errors between implicit exact damped oscillatory solutions and approximate damped oscillatory solutions are infinitesimal decreasing in the exponential form.

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Yan Zhao. Weiguo Zhang. "A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results." J. Appl. Math. 2014 1 - 19, 2014. https://doi.org/10.1155/2014/935915

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131993
MathSciNet: MR3285192
Digital Object Identifier: 10.1155/2014/935915

Rights: Copyright © 2014 Hindawi

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