Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation

From MaRDI portal
Publication:2953765

DOI10.1142/S0218127416502072zbMath1352.34054MaRDI QIDQ2953765

Wenjing Zhu, Guan-Rong Chen, Ji-Bin Li

Publication date: 6 January 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)




Related Items (46)

Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear DispersionExact solitons, periodic peakons and compactons in an optical soliton modelBifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm EquationExact solutions and dynamical behaviors of the Raman soliton model with anti-cubic nonlinearityBifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma EquationExact solitary wave and periodic-peakon solutions of the complex Ginzburg-Landau equation: dynamical system approachBifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equationsSolitary waves, periodic peakons and compactons on foliations in a Hertz chain modelResearch on Bifurcation and Chaos in a Dynamic Mixed Game System with Oligopolies Under Carbon Emission ConstraintResearch on the Complexity of Dual-Channel Supply Chain Model in Competitive Retailing Service MarketBifurcations and exact solutions of an asymptotic rotation-Camassa-Holm equationWave solutions to an integrable negative order KdV equationVarious Exact Soliton Solutions and Bifurcations of a Generalized Dullin–Gottwald–Holm Equation with a Power Law NonlinearityBifurcations and Dynamics of Traveling Wave Solutions for the Regularized Saint-Venant EquationExact Peakon, Periodic Peakon and Pseudo-Peakon Solutions of the Rotation-Two-Component Camassa–Holm SystemThe Existence and Bifurcation of Peakon and Anti-Peakon to the n-Degree b-EquationMore on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave EquationSmooth Exact Traveling Wave Solutions Determined by Singular Nonlinear Traveling Wave Systems: Two ModelsBifurcations and exact traveling wave solutions for the nonlinear Schrödinger equation with fourth-order dispersion and dual power law nonlinearityBIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR A GENERALIZED CAMASSA-HOLM EQUATIONSolitary Waves, Periodic Peakons and Pseudo-Peakons of the Nonlinear Acoustic Wave Model in Rotating Magnetized PlasmaSome smooth and nonsmooth traveling wave solutions for KP-\(\mathrm{MEW}(2, 2)\) equationThe bifurcations and exact traveling wave solutions for a nonlocal hydrodynamic-type systemPeriodic peakon and smooth periodic solutions for KP-MEW(3,2) equationBIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITYSmooth travelling wave solutions in a generalized Degasperis-Procesi equationBifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual SystemsAnalytic solutions for the (2+1)-dimensional generalized sine-Gordon equations in nonlinear opticsEXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONSNew solitary wave solutions in a perturbed generalized BBM equationBifurcations of Traveling Wave Solutions for Fully Nonlinear Water Waves with Surface Tension in the Generalized Serre–Green–Naghdi EquationsExistence and Dynamics of Bounded Traveling Wave Solutions to Getmanou EquationCompleting the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave ModelsExact Traveling Wave Solutions and Bifurcations of Classical and Modified Serre Shallow Water Wave EquationsTraveling waves in a generalized Camassa-Holm equation involving dual-power law nonlinearitiesBifurcations and Exact Solutions in a Nonlinear Wave EquationBifurcations and Exact Traveling Wave Solutions in Two Nonlinear Wave SystemsPseudo-Peakon, Periodic Peakons and Compactons on a Shallow Water Model with Coriolis EffectBifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component SystemsAbundant dynamical behaviors of bounded traveling wave solutions to generalized \(\theta\)-equationBIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS OF M-N-WANG EQUATIONBIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A SHALLOW WATER WAVE MODEL WITH A NON-STATIONARY BOTTOM SURFACEEXACT SOLUTIONS AND DYNAMICS OF THE RAMAN SOLITON MODEL IN NANOSCALE OPTICAL WAVEGUIDES, WITH METAMATERIALS, HAVING PARABOLIC LAW NON-LINEARITYSOLITARY WAVES, PERIODIC PEAKONS, PSEUDO-PEAKONS AND COMPACTONS GIVEN BY THREE ION-ACOUSTIC WAVE MODELS IN ELECTRON PLASMASExact Solutions and Dynamics of the Raman Soliton Model in Nanoscale Optical Waveguides, with Metamaterials, Having Polynomial Law NonlinearityBifurcations and Exact Solitary Wave, Compacton and Pseudo-Peakon Solutions in a Modified Generalized KdV Equation



Cites Work


This page was built for publication: Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation