Results 61 to 70 of about 2,627,124 (242)
A moment approach for entropy solutions to nonlinear hyperbolic PDEs [PDF]
Mathematical Control and Related Fields, 2018 We propose to solve polynomial hyperbolic partial differential equations (PDEs) with convex optimization. This approach is based on a very weak notion of solution of the nonlinear equation, namely the measure-valued (mv) solution, satisfying a linear ...
S. Marx +3 more
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On the hyperbolic nonlinear Schrödinger equations
Advances in Continuous and Discrete ModelsAbstractHere, we consider here Hyperbolic Nonlinear Schrödinger Equations (HNLS) that occur as asymptotic models in the modulational regime when the Hessian of the dispersion relation is not positive (or negative) definite. We review classical examples, well-known results, and main open questions.
Jean-Claude Saut, Yuexun Wang
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Approximate analytical solutions of nonlinear hyperbolic partial differential equation [PDF]
, 2022 The Multistep Modified Reduced Differential Transform Method (MMRDTM) is proposed and implemented in this study to obtain solutions of hyperbolic partial differential equations. We examine at the nonlinear Schrodinger equation (NLSE).
Suriana Lasairaya +3 more
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Exact solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation via the first integral method [PDF]
, 2012 In this article we find the exact traveling wave solutions of the Kudryashov–Sinelshchikov equation and nonlinear telegraph equation by using the first integral method. This method is based on the theory of commutative algebra.
Mirzazadeh, Mohammad, Eslami, Mostafa
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Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function
, 2009 The initial boundary value problem for a nonlinear hyperbolic equation with Lewis function in a bounded domain is considered. In this work, the main result is that the solution blows up in finite time if the initial data possesses suitable positive ...
F. Tahamtani
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The cauchy problem for nonlinear hyperbolic equations with Levi condition
Bulletin des Sciences Mathématiques, 1999 A quasilinear Cauchy problem of order \(m\) is considered for a weakly hyperbolic equation. It is assumed that the characteristic roots have constant multiplicity, higher than or equal to two. Since it is well known that such a type of equation requires conditions on the lower order terms, it is also assumed that for a generic value of the unknown ...
M. CICOGNANI, ZANGHIRATI, Luisa
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Relative entropy in diffusive relaxation [PDF]
, 2012 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum.
Tzavaras, Athanasios E. +1 more
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Advances in Mathematical Physics, 2019 The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
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Wave solution behaviors for fractional nonlinear fluid dynamic equation and shallow water equation [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 The behaviors of wave solutions of the fractional nonlinear space-time Sharma-Tasso-Olever equation and the fractional nonlinear space-time Estevez-Mansfield-Clarkson equation, representing a fluid dynamics equation and a shallow water equation ...
Weerachai Thadee +3 more
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Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation [PDF]
, 2015 The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed.
Wang, Gangwei, Xu, Tianzhou
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