Nonlinear dispersive ZK\((n,n)\) equations: new compacton solutions and solitary pattern solutions

DOI10.1016/j.amc.2006.09.040zbMath1344.35129OpenAlexW2063126951MaRDI QIDQ883954

Hongxia Wu, Tian-You Fan

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.040

zbMATH Keywords

solitonscompactonsextended sine-cosine methodZK(n,n) equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (1)

New exact solutions to the Zakharov-Kuznetsov equation and its generalized form

Cites Work

• New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations
• New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion.
• Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures
• Exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion
• Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
• New solitary wave solutions with compact support for the KdV-like \(K\)(\(m\), \(n\)) equations with fully nonlinear dispersion
• New exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion
• Compactons: Solitons with finite wavelength
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations

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