Smooth soliton solutions of a new integrable equation by Qiao

DOI10.1063/1.3548837zbMath1314.35151arXiv1010.1907OpenAlexW2092371168MaRDI QIDQ5256241

Sergei Sakovich

Publication date: 22 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1907

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (10)

Further results on the traveling wave solutions for an integrable equation ⋮ Infinitely many solitary waves of an integrable equation with singularity ⋮ Smooth soliton and kink solutions for a new integrable soliton equation ⋮ Transformation and integrability of a generalized short pulse equation ⋮ On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity ⋮ The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures ⋮ Orbital stability of peakons for a modified Camassa-Holm equation with higher-order nonlinearity ⋮ Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics ⋮ SEVERAL TYPES OF PERIODIC WAVE SOLUTIONS AND THEIR RELATIONS OF A FUJIMOTO-WATANABE EQUATION ⋮ Dark solitons of the Qiao's hierarchy

Cites Work

• A new integrable equation with no smooth solitons
• On integrability of one third-order nonlinear evolution equation
• New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
• Fujimoto-Watanabe equations and differential substitutions
• On Miura transformations of evolution equations
• Bifurcations of traveling wave solutions for an integrable equation
• Solitary wave solutions of the short pulse equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Smooth soliton solutions of a new integrable equation by Qiao