منابع مشابه
Periodic Wave Shock solutions of Burgers equations
In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...
متن کاملSoliton solutions of Burgers equations and perturbed Burgers equation
This paper carries out the integration of Burgers equation by the aid of tanh method. This leads to the complex solutions for the Burgers equation, KdV–Burgers equation, coupled Burgers equation and the generalized time-delayed Burgers equation. Finally, the perturbed Burgers equation in (1+1) dimensions is integrated by the ansatz method. 2010 Elsevier Inc. All rights reserved.
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We are interested in the global controllability of nonviscous Burgers type equations on a bounded interval. We have three controls: two are the boundary values, one is the right member of the equation and is constant with respect to the space variable. It has already been shown that boundary controls are not sufficient to have global controllability in small time. We prove here that the introdu...
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The formal solution of a general stargenvalue equation is presented, its properties studied and a geometrical interpretation given in terms of star-hypersurfaces in quantum phase space. Our approach deals with discrete and continuous spectra in a unified fashion and includes a systematic treatment of non-diagonal stargenfunctions. The formalism is used to obtain a complete formal solution of Wi...
متن کاملInvariants of fast solutions of KdV-Burgers Equations
which is obtained from eq. (1) by replacing Uk with A 2 k and rescaling t, while the cyclic boundary condition case is discussed in Goodman & Lax [2] for even N . Moser notes the existence of dN/2e polynomials of Ak that are invariant and states that they are independent. They are the coefficients of the characteristic equation of an N + 1 by N + 1 zero-diagonal symmetric Jacobi matrix whose te...
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2009
ISSN: 0208-6573
DOI: 10.7169/facm/1238418796