Reductions and conservation laws for BBM and modified BBM equations

DOI10.1515/math-2016-0101zbMath1377.35009OpenAlexW2568141529WikidataQ114963140 ScholiaQ114963140MaRDI QIDQ504523

Maryam Khorshidi, Maysaa Al Qurashi, Hossein Jafari, Mehdi Nadjafikhah

Publication date: 17 January 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0101

zbMATH Keywords

group-invariant solutionsLie symmetriesadjoint representationoptimal system of Lie sub-algebras

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

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Cites Work

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• Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
• Lie symmetries and conservation laws of the Hirota-Ramani equation
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• Applications of symmetry methods to partial differential equations
• Benjamin-Bona-Mahony equation with variable coefficients: conservation laws
• The homotopy operator method for symbolic integration by parts and inversion of divergences with applications
• Symmetry Analysis and Conservation Laws for the Hunter—Saxton Equation
• Model equations for long waves in nonlinear dispersive systems

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