On the study of global solutions for a nonlinear equation

DOI10.1155/2014/808214zbMath1474.35578OpenAlexW2094480924WikidataQ59041678 ScholiaQ59041678MaRDI QIDQ1725031

Haibo Yan, Ls Yong

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/808214

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Strong solutions to PDEs (35D35)

Cites Work

• The local strong and weak solutions for a generalized Novikov equation
• On the study of local solutions for a generalized Camassa-Holm equation
• A model containing both the Camassa-Holm and Degasperis-Procesi equations
• Dissipative solutions for the Camassa-Holm equation
• Global conservative solutions of the Camassa-Holm equation
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Peakon solutions of the Novikov equation and properties of the data-to-solution map
• On the weak solutions to a shallow water equation
• GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION
• Generalizations of the Camassa–Holm equation
• An integrable shallow water equation with peaked solitons
• Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View
• Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation
• The local and global existence of solutions for a generalized Camassa-Holm equation
• The Cauchy problem for the Novikov equation