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math-ph2021★ 4 cited
Periodic solutions from Lie symmetries for the generalized Chen-Lee-Liu equation
Andronikos Paliathanasis
The nonlinear generalized Chen-Lee-Liu 1+1 evolution equation which describes the propagation of an optical pulse inside a monomode fiber is studied by using the method of Lie symm…
math-ph2021
Symmetry analysis for the generalized quantum Zakharov-Kuznetsov equation
Andronikos Paliathanasis, P. G. L. Leach
We solve the group classification problem for the generalized quantum Zakharov-Kuznetsov equation. Particularly we consider the generalized equation $u_{t}+f\left( u\right) u…
math-ph2021★ 3 cited
Lie symmetry analysis and similarity solutions for the Camassa-Choi equations
Andronikos Paliathanasis
The method of Lie symmetry analysis of differential equations is applied to determine exact solutions for the Camassa-Choi equation and its generalization. We prove that the Camass…