S Yang, J Chen - Journal of Differential Equations, 2024 - Elsevier
In this paper, we are concerned with the finite time blow-up for the high-order Camassa- Holm-Fokas-Olver-Rosenau-Qiao equations, which is a generalization of the Camassa …
A Madiyeva, DE Pelinovsky - SIAM Journal on Mathematical Analysis, 2021 - SIAM
Peaked periodic waves in the Camassa--Holm equation are revisited. Linearized evolution equations are derived for perturbations to the peaked periodic waves, and linearized …
Z Wang, K Yan - Journal of Differential Equations, 2023 - Elsevier
This paper is concerned with the Cauchy problem for a two-component Camassa-Holm system with high order nonlinearity, which is a multi-component extension of the Fokas …
This review paper gives an overview of the method of multipliers for partial differential equations (PDEs). This method has made possible a lot of solutions to PDEs that are of …
L Zhang, Y Wang, C Khalique, Y Bai - system, 2018 - pdfs.semanticscholar.org
The bounded traveling wave solutions of a generalized Camassa-Holm-Novikov equation with p= 2 and p= 3 are derived via the dynamical system approach. The singular wave …
In the present work we revisit the b-family model of peakon equations, containing as special cases the b= 2 (Camassa–Holm) and b= 3 (Degasperis–Procesi) integrable examples. We …
A Chen, T Deng, Z Qiao - Monatshefte für Mathematik, 2022 - Springer
In this paper, we study the orbital stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation. We first verify that the QCHE has global peakon and …
B Moon - Discrete and Continuous Dynamical Systems-S, 2021 - aimsciences.org
This paper is devoted to studying the dynamical stability of periodic peaked solitary waves for the generalized modified Camassa-Holm equation. The equation is a generalization of …
The modified Camassa-Holm (mCH) equation is a bi-Hamiltonian system possessing $ N $- peakon weak solutions, for all $ N\geq 1$, in the setting of an integral formulation which is …