Abstract
We address the integrability aspects of the Zhiber-Shabat equation that serves as a generalised version of the \(\Phi -4\) 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.
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Morris, R.M., Kara, A.H. & Biswas, A. An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws. Collect. Math. 67, 55–62 (2016). https://doi.org/10.1007/s13348-014-0121-z
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DOI: https://doi.org/10.1007/s13348-014-0121-z