Exact explicit travelling wave solutions for the \((n+1)\)-dimensional \(\Phi ^{6}\) field model

DOI10.1016/j.physleta.2007.04.088zbMath1209.81148OpenAlexW1981784527MaRDI QIDQ715920

Ji-Bin Li, Da-He Feng

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.04.088

zbMATH Keywords

Jacobian elliptic functionsolitary wave solutionplanar dynamical systemperiodic wave solutionkink wave solution\(\Phi ^{6}\) model

Mathematics Subject Classification ID

Model quantum field theories (81T10)

Related Items (11)

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Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcations of travelling wave solutions in a new integrable equation with peakon and compactons
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Traveling wave solutions for a class of nonlinear dispersive equations
• New deformation relations and exact solutions of the high-dimensional \(\Phi ^{6}\) field model
• Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• New similarity reductions of the Boussinesq equation
• Method for Solving the Korteweg-deVries Equation
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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