The monotonicity and critical periods of periodic waves of the \(\varphi^{6}\) field model

DOI10.1007/s11071-010-9797-0zbMath1215.35108OpenAlexW2010475034MaRDI QIDQ547227

Aiyong Chen, Wen-Tao Huang, Ji-Bin Li

Publication date: 30 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11071-010-9797-0

zbMATH Keywords

periodic waveperiod functioncritical period\(\varphi ^{6}\) field model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Geometric methods for two-point nonlinear boundary value problems
• Exact explicit travelling wave solutions for the \((n+1)\)-dimensional \(\Phi ^{6}\) field model
• The period function of potential systems of polynomials with real zeros
• On the number of critical points of the period
• The monotonicity of period function for the codimension four quadratic system \(Q_4\).
• New deformation relations and exact solutions of the high-dimensional \(\Phi ^{6}\) field model
• Low-regularity solutions of the periodic Fornberg–Whitham equation
• An extension of integrable peakon equations with cubic nonlinearity
• Domain wall and periodic solutions of coupled ϕ4 models in an external field
• Domain wall and periodic solutions of coupled asymmetric double well models
• A NOTE ON THE CRITICAL PERIODS OF POTENTIAL SYSTEMS
• Higher order periodic solutions of coupled φ⁴and φ⁶models
• Global well posedness and limit behavior of the solutions to the viscous Degasperis–Procesi equation
• A class of Hamiltonian systems with increasing periods.
• The critical points of the period function of x″−x2(x−α)(x−1)=0 (0⩽α<1)
• Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
• The period function of hyperelliptic Hamiltonians of degree 5 with real critical points
• Domain wall and periodic solutions of a coupled ϕ6 model

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