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

作者：Morris R M^*; Kara A H; Biswas Anjan

来源：Collectanea Mathematica, 2016, 67(1): 55-62.

DOI：10.1007/s13348-014-0121-z

• Lie symmetry
• Multiplier
• Conservation law
• Travelling-wave
• Weierstrass elliptic function

We address the integrability aspects of the Zhiber-Shabat equation that serves as a generalised version of the 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.