Travelling wave analysis of an isothermal Euler-Poisson model
S. Cordier, P. Degond, P. Markowich, C. Schmeiser (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
S. Cordier, P. Degond, P. Markowich, C. Schmeiser (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Similarity:
Md. Nur Alam, Fethi Bin Muhammad Belgacem (2015)
Waves, Wavelets and Fractals
Similarity:
In this paper we investigate the regularized long wave equation involving parameters by applying the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained in this manuscript may be imperative and significant for the explanation of some practical physical phenomena. The performance of this method is reliable, useful, and gives us more new exact solutions than the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion...
Aurore Cabet, Piotr T. Chruściel, Roger Tagne Wafo
Similarity:
We consider a characteristic initial value problem for a class of symmetric hyperbolic systems with initial data given on two smooth null intersecting characteristic surfaces. We prove existence of solutions on a future neighborhood of the initial surfaces. The result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.
Dong Li, Yifei Wu (2014)
Journal of the European Mathematical Society
Similarity:
The Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. In the 3D case Guo [7] first constructed a global smooth irrotational solution by using the dispersive Klein-Gordon effect. It has been conjectured that same results should hold in the two-dimensional case. In our recent work [13], we proved the existence of a family of smooth solutions by constructing the wave operators for...
Chen, Yunkai (1998)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Khader, M.M., Al-Bar, R.F. (2011)
Mathematical Problems in Engineering
Similarity:
Franco, Sebastião Romero, Farina, Leandro
Similarity:
A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute...
Bogdan Przeradzki, Katarzyna Szymańska-Dębowska (2014)
Banach Center Publications
Similarity:
The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Similarity:
P. Donnat, J.-L. Joly, G. Métivier, J. Rauch (1995-1996)
Séminaire Équations aux dérivées partielles (Polytechnique)
Similarity:
Carmela Currò, Domenico Fusco (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
Discontinuous shock structure solutions for a general system of balance laws is considered in order to investigate the problem of connecting two equilibrium states lying on different sides of a singular barrier representing a locus of irregular singular points for travelling waves. Within such a theoretical setting a governing system of monoatomic gas is considered.