Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation

DOI10.1016/j.cam.2016.11.017zbMath1356.35078OpenAlexW2549936012MaRDI QIDQ507864

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.017

zbMATH Keywords

multiplier methodoptimal system of subalgebrasLie symmetry method

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis ⋮ Travelling waves and conservation laws of a \((2+1)\)-dimensional coupling system with Korteweg-de Vries equation ⋮ Traveling wave solutions and conservation laws of a generalized Kudryashov-Sinelshchikov equation ⋮ The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit peakon and solitary wave solutions for the modified Fornberg-Whitham equation
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Conservation laws for a variable coefficient variant Boussinesq system
• Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations
• On the incompleteness of Ibragimov's conservation law theorem and its equivalence to a standard formula using symmetries and adjoint-symmetries
• Traveling waves and conservation laws for complex mKdV-type equations
• Simplest equation method to look for exact solutions of nonlinear differential equations
• Exact solutions and conservation laws of a coupled integrable dispersionless system
• A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations
• Direct Construction of Conservation Laws from Field Equations
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Group-invariant solutions of semilinear Schrödinger equations in multi-dimensions
• Variational methods and applications to water waves