Further results on the smooth and nonsmooth solitons of the Novikov equation

DOI10.1007/s11071-016-2921-zzbMath1349.35056OpenAlexW2474370830MaRDI QIDQ345908

Shaoyong Li, Chao-Hong Pan

Publication date: 2 December 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2921-z

zbMATH Keywords

soliton solutionsHamiltonian functionNovikov equationbifurcation method

Mathematics Subject Classification ID

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

Related Items (4)

On the monotonicity of limit wave speed of the pgKdV equation with nonlinear terms of arbitrary higher degree ⋮ Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation ⋮ A smooth soliton solution and a periodic cuspon solution of the Novikov equation ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

• Infinitely many solitary waves of an integrable equation with singularity
• Stability of peakons for the Novikov equation
• On bi-Hamiltonian structure of two-component Novikov equation
• Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation
• Painlevé analysis, complete Lie group classifications and exact solutions to the time-dependent coefficients gardner types of equations
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Peakon solutions of the Novikov equation and properties of the data-to-solution map
• Bifurcation of solitons, peakons, and periodic cusp waves for \(\theta\)-equation
• Smooth multisoliton solutions and their peakon limit of Novikov’s Camassa–Holm type equation with cubic nonlinearity
• Exact Cuspon and Compactons of the Novikov Equation
• Domain wall and bifurcation analysis of the Klein-Gordon Zakharov equation in (1 + 2)-dimensions with power law nonlinearity
• An extension of integrable peakon equations with cubic nonlinearity
• Integrable peakon equations with cubic nonlinearity
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Generalizations of the Camassa–Holm equation
• Perturbative symmetry approach
• Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity
• Bifurcations of traveling wave solutions for an integrable equation
• PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION

This page was built for publication: Further results on the smooth and nonsmooth solitons of the Novikov equation