An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws

• Autores: R. M. Morris, Abdul Hamid Kara, Anjan Biswas
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 1, 2016, págs. 55-62
• Idioma: inglés
• DOI: 10.1007/s13348-014-0121-z
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• Resumen

  • We address the integrability aspects of the Zhiber-Shabat equation that serves as a generalised version of the Φ−4 equation which is related to relativistic quantum mechanics. Three methods of integration are applied to this nonlinear evolution equation, namely the travelling-wave approach, Lie group method and the invariance-multiplier approach.