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Lie symmetry analysis of system of nonlinear fractional partial differential equations with Caputo fractional derivative

The European Physical Journal Plus, 2020
We derive the general prolongation formula for system of fractional partial differential equations (FPDEs) with Caputo derivative involving m dependent variables and n independent variables. A systematic computational method to derive Lie point symmetries of nonlinear FPDEs with Caputo derivative is given, and we illustrate its applicability through ...
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Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations

Journal of Mathematical Physics, 1991
Given a partial differential equation, its Painlevé analysis will first be performed with a built-in invariance under the homographic group acting on the singular manifold function. Then, assuming an order for the underlying Lax pair, a multicomponent pseudopotential of projective Riccati type, the components of which are homographically invariant, is ...
Musette, M., Conte, R.
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A nonlinear second-order partial differential equation derived from a linear type-II integral equation with quadratic dispersion

Journal of Physics A: Mathematical and General, 1990
A relation between a type-II linear integral equation with quadratic dispersion and a second-order nonlinear partial differential equation is demonstrated. A limiting process in the spectral parameter space sets the analysis somewhat apart from the usual type of analysis.
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SOLUTION OF A SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES WITH THREE INDEPENDENT VARIABLES

Bulletin of Osh State University, 2022
Aizharkyn Zhorobekovna Ashirbayeva   +1 more
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Differential identities for nonlinear equations with partial derivatives

Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: matematika, mekhanika, informatika, 2015
Anikonov, Yu. E., Neshchadim, M. V.
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ON BARBASHIN NONLINEAR INTEGRO-DIFFERENTIAL EQUATION WITH PARTIAL DERIVATIVE OF THE SECOND ORDER

Far East Journal of Mathematical Sciences (FJMS), 2017
A. S. Kalitvin, V. A. Kalitvin
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ON THE STRUCTURE OF SOLUTIONS OF THE INITIAL PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES OF THE FOURTH ORDER

Herald of Institute Mathematics of the National Academy of Sciences of the Kyrgyz Republic, 2022
A.B. Baizakov   +2 more
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A partial-integrable numerical simulation scheme of the derivative nonlinear Schrödinger equation

Mathematics and Computers in Simulation
Tingxiao He, Yun Wang, Yingnan Zhang
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Fuzzy Sawi Decomposition Method for Solving Nonlinear Partial Fuzzy Differential Equations

Symmetry, 2021
Atanaska Georgieva   +2 more
exaly  

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