An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions

DOI10.1016/j.cnsns.2018.03.019OpenAlexW2795227280MaRDI QIDQ2207953

Zhijun Qiao, Baoqiang Xia, Ji-Bin Li

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2028

zbMATH Keywords

integrable systemLax pairpeakonweak kinkcomplex peakongeneralization of Camassa-Holm equation

Mathematics Subject Classification ID

Related Items (20)

Qualitative analysis for a two-component peakon system with cubic nonlinearity ⋮ Riemann-Hilbert approach for the FQXL model: A generalized Camassa-Holm equation with cubic and quadratic nonlinearity ⋮ On the integrability of a four-component super system ⋮ Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity ⋮ Persistence of kink and periodic waves to singularly perturbed two-component Drinfel'd-Sokolov-Wilson system ⋮ The peakon solutions of a new integrable Camassa-Holm equation ⋮ Blow‐up of solutions for an integrable periodic two‐component Camassa‐Holm system with cubic nonlinearity ⋮ Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms ⋮ Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations ⋮ The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities ⋮ Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation ⋮ Stability of peakons for the generalized modified Camassa-Holm equation ⋮ Blow-up phenomena and peakons for the gFQXL/gCH-mCH equation ⋮ Bifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual Systems ⋮ Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity ⋮ New solitary wave solutions in a perturbed generalized BBM equation ⋮ New generalized soliton solutions for a \((3 + 1)\)-dimensional equation ⋮ On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation ⋮ Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning ⋮ Blow-up scenario for a generalized Camassa–Holm equation with both quadratic and cubic nonlinearity

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