Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity
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Publication:5230990
DOI10.1080/14029251.2015.1033243zbMath1421.76191OpenAlexW1963908411MaRDI QIDQ5230990
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2015.1033243
Group actions and symmetry properties (58D19) Weak solutions to PDEs (35D30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Related Items (10)
Exact explicit nonlinear wave solutions to a modified cKdV equation ⋮ A Riemann-Hilbert approach for the Novikov equation ⋮ Infinitely many solitary waves of an integrable equation with singularity ⋮ Further results on the smooth and nonsmooth solitons of the Novikov equation ⋮ Effect of the Coriolis force on bounded traveling waves of the rotation-two-component Camassa–Holm system ⋮ Bifurcations and Exact Traveling Wave Solutions of the Celebrated Green–Naghdi Equations ⋮ Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation ⋮ The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations ⋮ Existence and Dynamics of Bounded Traveling Wave Solutions to Getmanou Equation ⋮ A view of the peakon world through the lens of approximation theory
Cites Work
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- Reciprocal transformations for a spectral problem in \(2+1\) dimensions
- 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
- The application of bifurcation method to a higher-order KdV equation
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- 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
- 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
- A wave equation in 2+1: Painleve analysis and solutions
- Bifurcations of traveling wave solutions for an integrable equation
- PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
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