The investigation of local weak solutions for a generalized Novikov equation

DOI10.1186/1029-242X-2014-230zbMath1372.35239OpenAlexW2097367302WikidataQ59323733 ScholiaQ59323733MaRDI QIDQ2405650

Shaoyong Lai

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-230

zbMATH Keywords

existencelocal weak solutiona generalized Novikov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51)

Cites Work

• Well-posedness and persistence properties for the Novikov equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• The Periodic Cauchy Problem for Novikov's Equation
• Integrable peakon equations with cubic nonlinearity
• Generalizations of the Camassa–Holm equation
• Commutator estimates and the euler and navier-stokes equations
• An integrable shallow water equation with peaked solitons
• Hölder continuity of the solution map for the Novikov equation
• The Cauchy problem for the Novikov equation
• On the Cauchy problem for the Camassa-Holm equation

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