New exact solutions to the CDF equations

DOI10.1016/J.CHAOS.2007.05.018zbMath1197.35246OpenAlexW2043438955MaRDI QIDQ712021

Teoman Özer

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.05.018

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (7)

Exact explicit traveling wave solutions for the CDF equation ⋮ Logarithm transformation together with the integral bifurcation method for investigating exact solutions of the CDF equation with mKdV type ⋮ On group-invariant solutions of Konopelchenko-Dubrovsky equation by using Lie symmetry approach ⋮ New travelling wave solutions to the Ostrovsky equation ⋮ Invariant solutions and conservation laws to nonconservative FP equation ⋮ A study of integrability and symmetry for the (p + 1)th Boltzmann equation via Painlevé analysis and Lie-group method ⋮ Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach

Cites Work

• Unnamed Item
• Note on an extension of the CDF equation to \((2+1)\) dimensions.
• Traveling-wave solutions of the Calogero-Degasperis-Fokas equation in \(2+1\) dimensions
• Symmetry group analysis and similarity solutions of variant nonlinear long-wave equations
• Exact solutions of some systems of nonlinear partial differential equations using symbolic computation
• Improved Jacobian elliptic function method and its applications.
• New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation
• Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations
• A note on the homogeneous balance method
• A symmetry approach to exactly solvable evolution equations
• Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
• Method for Solving the Korteweg-deVries Equation
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

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