Bell polynomials approach applied to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation

DOI10.1155/2014/523136zbMath1474.35560OpenAlexW1588763593WikidataQ59039131 ScholiaQ59039131MaRDI QIDQ1724321

Biao Li, Yong Chen, Wen-guang Cheng

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/523136

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics ⋮ \(N\)-lump and interaction solutions of localized waves to the \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Interaction behavior between solitons and (\(2+1)\)-dimensional CDGKS waves ⋮ Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation

Cites Work

• The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
• Soliton equations and simple combinatorics
• On a direct procedure for the disclosure of Lax pairs and Bäcklund transformations
• Exponential polynomials
• Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation
• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• Super extension of Bell polynomials with applications to supersymmetric equations
• Integrability of the modified generalised Vakhnenko equation
• New Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson Equation
• Binary Bell Polynomials Approach to Generalized Nizhnik—Novikov—Veselov Equation
• Symmetry Reductions and Group-Invariant Solutions of (2 + 1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
• Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
• On the combinatorics of the HirotaD-operators
• Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Algebraic-Geometric Solution to (2+1)-Dimensional Sawada–Kotera Equation
• An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
• Non-local symmetries via Darboux transformations
• TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources
• On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
• Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation

This page was built for publication: Bell polynomials approach applied to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation