Results 21 to 30 of about 456,102 (333)
On the initial value problem for a partial differential equation with operator coefficients
International Journal of Mathematics and Mathematical Sciences, 1980 In the present work it is studied the initial value problem for an equation of the form L∂ku∂tk=∑j=1kLj∂k−ju∂tk−j,where L is an elliptic partial differential operator and (Lj:j=1,…,k) is a family of partial differential operators with bounded operator ...
Mahmoud M. El-Borai
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On the zeros of solutions of elliptic partial differential equations
, 1968 Paul Albert Haeder
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Abstract and Applied Analysis, 2012 We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir +3 more
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
Advances in Difference Equations, 2018 This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
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The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Abstract and Applied Analysis, 2014 Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative.
Bin Zheng, Qinghua Feng
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A Microscopic Convexity Principle for Nonlinear Partial Differential Equations [PDF]
, 2008 We establish a microscopic convexity principle for nonlinear elliptic and parabolic partial differential equations in general form.
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Second order elliptic partial differential equations driven by Lévy white noise [PDF]
arXiv, 2021 This paper deals with linear stochastic partial differential equations with variable coefficients driven by L\'{e}vy white noise. We first derive an existence theorem for integral transforms of L\'{e}vy white noise and prove the existence of generalized and mild solutions of second order elliptic partial differential equations.
arxiv
Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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On the level set version of partial uniform ellipticity and applications [PDF]
arXiv, 2022 We derive level set version of partial uniform ellipticity for symmetric concave functions. This suggests an effective approach to investigate second order fully nonlinear equations of elliptic and parabolic type.
arxiv
The solution of Poisson partial differential equations via Double Laplace Transform Method
Partial Differential Equations in Applied Mathematics, 2021 The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics.
Amjad Ali, Abdullah, Anees Ahmad
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