Results 31 to 40 of about 537,575 (240)
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Min-Sum Soft Symbol Estimation for Iterative MMSE Detection
IEEE Access, 2020 Soft symbol estimation (SSE) is the first process in soft interference cancellation minimum mean squared error (SIC-MMSE) detection for multiple-input multiple-output (MIMO) systems.
Satya Chan, Sooyoung Kim
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Abundant exact solutions of higher-order dispersion variable coefficient KdV equation
Open Physics, 2022 In this article, various exact solutions of the fifth-order variable coefficient KdV equation with higher-order dispersion term are studied. Because of the complexity of the exact solution of the variable coefficient t, it has a certain influence on the ...
Zhao Zhen, Pang Jing
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Canonicability of the first order system of hyperbolic equations [PDF]
Journal of Integral Equations and Applications, 2015 The paper establishes a condition for the first order hyperbolic system (with a boundary condition at infinity) to have a solution that can be expressed by the second kind Volterra operator. On the basis of this condition, some canonical forms (for instance Dirac-type system) of the first order hyperbolic system can be sorted.
Ismailov, Mansur I., Tekin, Ibrahim
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On k-wave solutions of quasilinear systems of partial differential equations [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper, we establish a relation between two seemingly unrelated concepts for solving first-order hyperbolic quasilinear systems of partial differential equations in many dimensions. These concepts are based on a variant of the conditional symmetry
Alfred Michel Grundland
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Difference methods for nonlinear first-order hyperbolic systems of equations
, 1970 Two difference methods for approximating some first-order nonlinear hyperbolic differential equations are considered. The methods apply to problems arising in a number of physical applications.
By L. F. Shampine, R. Thompson
semanticscholar +2 more sources
Membranes, 2021 The drag of dispersals towards a membrane surface is a consequence of the filtration process. It also represents the first step towards the development of the problem of fouling.
Amgad Salama, Shuyu Sun, Tao Zhang
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Some Uniqueness Theorems for First Order Hyperbolic Systems
Publications of the Research Institute for Mathematical Sciences, 1975 Taniguchi has shown in [9] that the same uniqueness theorem isvalid for some first order symmetric hyperbolic systems in the case whenIn this paper, we intend to extend his result to the case when n>iand to more general hyperbolic systems, which, in particular, enablesus to discuss the above uniqueness of solutions of the Dirac equation.The authors ...
Ishii, Hitoshi +2 more
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Comptes Rendus. MathématiqueWe revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and ...
Bianchini, Roberta +2 more
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