Results 61 to 70 of about 99,243 (193)
Construction of Exact Solutions to Partial Differential Equations with CRE Method
Communications in Advanced Mathematical Sciences, 2019 In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations.
Arzu Akbulut, Filiz Taşcan
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, 2017 An algebraic-hyperbolic method for solving the Hamiltonian and momentum constraints has recently been shown to be well posed for general nonlinear perturbations of the initial data for a Schwarzschild black hole.
Winicour, Jeffrey
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Invariant manifold of hyperbolic-elliptic type for nonlinear wave equation
International Journal of Mathematics and Mathematical Sciences, 2003 It is shown that there are plenty of hyperbolic-elliptic invariant tori, thus quasiperiodic solutions for a class of nonlinear wave equations.
Xiaoping Yuan
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Short-Time Existence for Scale-Invariant Hamiltonian Waves
, 2005 We prove short-time existence of smooth solutions for a class of nonlinear, and in general spatially nonlocal, Hamiltonian evolution equations that describe the self-interaction of weakly nonlinear scale-invariant waves. These equations include ones that
Hunter, John K.
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Asymptotical analysis of generalized Hirota–Satsuma type system
Lietuvos Matematikos Rinkinys, 2010 Paper deals with the nonlinear coupled equations of the well known in the literature Hirota–Satsuma type system. The asymptotic analysis of this system, which is based on the principle of two scales and on averaging of weakly nonlinear hyperbolic systems
Rima Kriauzienė, Aleksandras Krylovas
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Weighted least-squares approximationsto nonlinear hyperbolic equations
Computers & Mathematics with Applications, 2004 The author considers a one-dimensional conservation law and a companion problem obtained by adding a small viscosity term. A numerical method based on time discretization and subsequent weighted least-squares finite element approximation is proposed and studied. The stability and the convergence of the method are shown in an appropriate norm.
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On a free boundary problem for biosorption in biofilms
, 2018 The work presents the qualitative analysis of the free boundary value problem related to the biosorption process in multispecies biofilms. In the framework of continuum biofilm modeling, the mathematical problem consists of a system of nonlinear ...
D'Acunto, Berardino +2 more
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On nonlinear Schrödinger equations on the hyperbolic space
Journal of Mathematical Analysis and Applications, 2020 We study existence of weak solutions for certain classes of nonlinear Schr dinger equations on the Poincar ball model $\mathbb{B}^N$, $N\geq 3$. By using the Palais principle of symmetric criticality and suitable group theoretical arguments, we establish the existence of a nontrivial (weak) solution.
Matija Cencelj +3 more
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On exact solutions of modified KdV-ZK equation
Alexandria Engineering Journal, 2016 In this work, we established some exact particular solutions with parameters for Modified KdV-ZK Equation. The improved tanϕ(ξ)2-expansion method is introduced to construct exact particular solutions of nonlinear evolution equations. The exact particular
Syed Tauseef Mohyud-Din, Amna Irshad
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Lower Bounds for the Blow up Time to a Coupled Nonlinear Hyperbolic Type Equations
Communications in Advanced Mathematical Sciences, 2020 The initial and Dirichlet boundary value problem of nonlinear hyperbolic type equations in a bounded domain is studied. We established a lower bounds for the blow up time.
Erhan Pişkin +2 more
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