Results 41 to 50 of about 99,299 (234)
Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
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Numerical solution of a critical Sobolev exponent problem with weight on š3
Journal of Taibah University for Science, 2021 In this paper, we prove the existence of a positive solution for elliptic nonlinear partial differential equation with weight involving a critical exponent of Sobolev imbedding on $ \mathbb {S}^{3} $ .
Adel Almarashi +3 more
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On the definition of ellipticity for systems of partial differential equations
Journal of Mathematical Analysis and Applications, 1991 The paper is devoted to the study of ellipticity of partial differential equations and systems. In particular the author studies the relationship between the concepts introduced by \textit{A. Douglis} and \textit{L. Nirenberg} [Commun. Pure Appl. Math. 8, 503--538 (1955; Zbl 0066.08002)] and by \textit{M. H. Protter} [Pitman Res. Notes Math., Ser. 175,
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Classification of Exact Solutions for Generalized Form of Equation
Abstract and Applied Analysis, 2013 The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
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Journal of Taibah University for Science, 2019 In this paper, we apply the (Gā²/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot +4 more
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A double inverse problem for Fredholm integro-differential equation of elliptic type
Vestnik Samarskogo Gosudarstvennogo TehniÄeskogo Universiteta. SeriĆ¢: Fiziko-MatematiÄeskie Nauki, 2014 In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation. First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Xiaoxiao Zheng, Yadong Shang, Yong Huang
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Explicit solutions of some equations and systems of mathematical physics
Advances in Difference Equations, 2020 This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
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AIMS Mathematics, 2023 This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations.
Jeong-Kweon Seo, Byeong-Chun Shin
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Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension
, 2010 We derive the higher dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimensions are summarized.
Svitek, Otakar
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