Conservation laws for a Boussinesq equation

• Autores: María Luz Gandarias Núñez , María de los Santos Bruzón Gallego
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 2, Nº. 2, 2017, págs. 465-472
• Idioma: inglés
• DOI: 10.21042/amns.2017.2.00037
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• Resumen

  • In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using the multiplier method. Taking into account the relationship between symmetries and conservation laws and applying the multiplier method to a reduced ordinary differential equation, we obtain directly a second order ordinary differential equation and two third order ordinary differential equations.