Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation

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Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

dynamics solitary waves bifurcations kink waves modified Novikov equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Cites Work

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Further results on the smooth and nonsmooth solitons of the Novikov equation
Stability of peakons for the Novikov equation
The global solution and blow-up phenomena to a modified Novikov equation
Well-posedness and persistence properties for the Novikov equation
Blow-up phenomenon for the integrable Novikov equation
Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation
The bifurcations of solitary and kink waves described by the Gardner equation
Nonlinear wave solutions and their relations for the modified Benjamin-Bona-Mahony equation
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
Periodic wave solutions and their limit forms of the modified Novikov equation
The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
Bifurcations and exact traveling wave solutions of a new two-component system
Peakon solutions of the Novikov equation and properties of the data-to-solution map
On the Cauchy problem for the modified Novikov equation with peakon solutions
Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity
A few remarks on the generalized Novikov equation
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Bifurcations of traveling wave solutions for a modified Novikov's cubic equation
The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations
Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity
Smooth multisoliton solutions and their peakon limit of Novikov’s Camassa–Holm type equation with cubic nonlinearity
Dynamics of Traveling Wave Solutions to a New Highly Nonlinear Shallow Water Wave Equation
Exact Cuspon and Compactons of the Novikov Equation
Integrable peakon equations with cubic nonlinearity
Generalizations of the Camassa–Holm equation
Perturbative symmetry approach
Well-posedness and global existence for the Novikov equation
Abundant explicit periodic wave solutions and their limit forms to space‐time fractional Drinfel'd–Sokolov–Wilson equation
Qualitative study of effects of vorticity on traveling wave solutions to the two-component Zakharov–Itō system
Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity
The Cauchy problem for the Novikov equation
Bifurcations and Dynamics of Traveling Wave Solutions to a Fujimoto-Watanabe Equation

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