New exact solutions of (3 + 1)‐dimensional generalized Kadomtsev‐Petviashvili equation using a combination of lie symmetry and singular manifold methods
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DOI: 10.1002/mma.6031
Abstract: A new combination of Lie symmetry and Singular Manifold methods has been employed to study (3 + 1)‐dimensional generalized Kadomtsev‐Petviashvili (KP). Infinite‐dimensional space of Lie vectors has been established. Single and dual linear combinations of… read more here.
Keywords: lie symmetry; equation; singular manifold; symmetry singular ... See more keywords
Exact solutions of nonlinear fractional order partial differential equations via singular manifold method
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Physics"
DOI: 10.1016/j.cjph.2019.09.005
Abstract: Abstract Singular manifold method is applied to solve nonlinear fractional partial differential equations (NLFPDEs). Fractional complex transformation is firstly used to reduce the equations to ordinary differential equations (ODEs). Using Backlund transformation the Schwarzian derivatives… read more here.
Keywords: partial differential; singular manifold; manifold method; nonlinear fractional ... See more keywords