Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients

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Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients

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Title: Exact Solutions for a Generalized KdV-MKdV Equation with Variable Coefficients
Author(s):
Tang, Bo;
Wang, Xuemin (UT Dallas);
Fan, Yingzhe;
Qu, Junfeng
Item Type: article
Keywords: Show Keywords
Abstract: By using solutions of an ordinary differential equation, an auxiliary equation method is described to seek exact solutions of variable-coefficient KdV-MKdV equation. As a result, more new exact nontravelling solutions, which include soliton solutions, combined soliton solutions, triangular periodic solutions, Jacobi elliptic function solutions, and combined Jacobi elliptic function solutions, for the KdV-MKdV equation are obtained. It is shown that the considered method provides a very effective, convenient, and powerful mathematical tool for solvingmany other nonlinear partial differential equations with variable coefficients inmathematical physics.
ISSN: 1024-123X
Persistent Link: http://dx.doi.org/10.1155/2016/5274243
http://hdl.handle.net/10735.1/5046
Bibliographic Citation: Tang, Bo, Xuemin Wang, Yingzhe Fan, and Junfeng Qu. 2016. "Exact solutions for a generalized KdV-MKdV equation with variable coefficients." Mathematical Problems in Engineering 2016, doi: 10.1155/2016/5274243
Terms of Use: CC BY 4.0 (Attribution) License
©2016 The Authors
Sponsors: Hubei Provincial Department of Education (B2015146)

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