Frobenius integrable decompositions for high-order nonlinear evolution equations

DOI10.1016/j.cnsns.2010.10.024zbMath1218.35195OpenAlexW2059002249MaRDI QIDQ551077

Huan He Dong, Hong Wei Yang, Bao Shu Yin

Publication date: 13 July 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.10.024

zbMATH Keywords

Bäcklund transformationssoliton equationFrobenius integrable decompositions

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Uses Software

• RAEEM
• RATH

Cites Work

• Partial differential equations possessing Frobenius integrable decompositions
• A Maple package for finding exact solitary wave solutions of coupled nonlinear evolution equations
• RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations
• Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations