Next Article in Journal
A Generalized Cross Validation Method for the Inverse Problem of 3-D Maxwell's Equation
Previous Article in Journal
Effect of the Initial Deflection on Vibration Characteristics of the Rub-Impact Rotor System
 
 
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

The Multi-Wave Method for Nonlinear Evolution Equations

1
Department of Information and Computing Science, Guangxi University of Technology, 545006 Liuzhou, Guangxi, P.R. China
2
School of Mathematics and Statistics, Yunnan University, 650091 Kunming, P.R. China
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(5), 776-783; https://doi.org/10.3390/mca15050776
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010

Abstract

The multi-wave method is proposed to find new exact solitary solutions of nonlinear evolution equations. The Caudrey-Dodd-Gibbon-Kaeada equation is employed as an example to illustrate the effectiveness of the suggested method and some new wave solutions with four different velocities and frequencies are obtained. Obviously, the method can be applied to solve other types of nonlinear evolution equations as well.
Keywords: The Multi-Wave Method; The Caudrey-Dodd-Gibbon-Kaeada Equation; Periodic Soliton Wave Solution; M-shape Solitary Solution The Multi-Wave Method; The Caudrey-Dodd-Gibbon-Kaeada Equation; Periodic Soliton Wave Solution; M-shape Solitary Solution

Share and Cite

MDPI and ACS Style

Shi, Y.; Dai, Z.; Han, S.; Huang, L. The Multi-Wave Method for Nonlinear Evolution Equations. Math. Comput. Appl. 2010, 15, 776-783. https://doi.org/10.3390/mca15050776

AMA Style

Shi Y, Dai Z, Han S, Huang L. The Multi-Wave Method for Nonlinear Evolution Equations. Mathematical and Computational Applications. 2010; 15(5):776-783. https://doi.org/10.3390/mca15050776

Chicago/Turabian Style

Shi, Yeqiong, Zhengde Dai, Song Han, and Liwei Huang. 2010. "The Multi-Wave Method for Nonlinear Evolution Equations" Mathematical and Computational Applications 15, no. 5: 776-783. https://doi.org/10.3390/mca15050776

Article Metrics

Back to TopTop