Abstract and Applied Analysis

Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

Wen-guang Cheng, Biao Li, and Yong Chen

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Abstract

The bilinear form, bilinear Bäcklund transformation, and Lax pair of a (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients can be naturally obtained in the procedure of applying the Bell polynomials approach. Moreover, the N-soliton solutions of the equation are constructed with the help of the Hirota bilinear method. Finally, the infinite conservation laws of this equation are obtained by decoupling binary Bell polynomials. All conserved densities and fluxes are illustrated with explicit recursion formulae.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 523136, 10 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049827

Digital Object Identifier
doi:10.1155/2014/523136

Mathematical Reviews number (MathSciNet)
MR3272201

Zentralblatt MATH identifier
07022550

Citation

Cheng, Wen-guang; Li, Biao; Chen, Yong. Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 523136, 10 pages. doi:10.1155/2014/523136. https://projecteuclid.org/euclid.aaa/1425049827


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