Blow-up scenario for a generalized Camassa–Holm equation with both quadratic and cubic nonlinearity. Issue 6 (26th April 2021) - Dong, Xiaofang
ABSTRACT: In this paper, we mainly devote to study an integrable generalized Camassa–Holm equation with both quadratic and cubic nonlinearity proposed by Xia, Qiao and Li [An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions. Commun Nonlinear Sci Numer Simul. 2018;63:292–306]. By overcoming the difficulties cased by the complicated mixed nonlinear structure, we present a precise blow-up scenario and some new blow-up results for strong solutions under different initial data.