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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 higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms

International Journal of Computer Mathematics, 1991
In this paper, we present a finite difference method of 0(k 2 +kh 2+h 4) for the second order nonlinear 3-D parabolic partial differential equation v 1 u xx + v 2 U yy +v 3 u zz = f(x,y,z,t,u,u x ,u y ,u z ,u t ) where v i , i=l, 2, 3 are positive constants, using 19 spatial grid points subject to Dirichlet boundary conditions.
Manoj Kumar Jain   +2 more
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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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On oblique derivative problems for fully nonlinear second-order elliptic partial differential equations on nonsmooth domains

Nonlinear Analysis: Theory, Methods & Applications, 1990
The fully nonlinear elliptic \(PDE\) \(F(x,u,Du,D^ 2u)=0\) in \(\Omega\) with the oblique derivative condition \(\partial u/\partial\gamma+f(x,u)=0\) on \(\partial\Omega\) is known to have unique solutions in domains \(\Omega\) that are sufficiently smooth, see \textit{P. L. Lions} [Duke Math. J.
Dupuis, Paul, Ishii, Hitoshi
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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
openaire   +1 more source

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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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
openaire   +1 more source

Fuzzy Sawi Decomposition Method for Solving Nonlinear Partial Fuzzy Differential Equations

Symmetry, 2021
Atanaska Georgieva   +2 more
exaly  

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