Complex-Valued Burgers and KdV–Burgers Equations
نویسندگان
چکیده
منابع مشابه
Complex-Valued Burgers and KdV-Burgers Equations
Spatially periodic complex-valued solutions of the Burgers and KdV-Burgers equations are studied in this paper. It is shown that for any sufficiently large time T , there exists an explicit initial data such that its corresponding solution of the Burgers equation blows up at T . In addition, the global convergence and regularity of series solutions is established for initial data satisfying mil...
متن کاملTime-Delayed Instabilities in Complex Burgers Equations
For Burgers equations with real data and complex forcing terms, Lerner, Morimoto and Xu [Instability of the Cauchy-Kovalevskaya solution for a class of non-linear systems, Amer. J. Math. 2010] proved that only analytical data generate local C solutions. The corresponding instabilities are however not observed numerically; rather, numerical simulations show an exponential growth only after a del...
متن کاملApplication of Laplace decomposition method for Burgers-Huxley and Burgers-Fisher equations
In this paper, we apply the Laplace decomposition method to obtain a series solutions of the Burgers-Huxley and Burgers-Fisher equations. The technique is based on the application of Laplace transform to nonlinear partial differential equations. The method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...
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.
متن کاملComplex-Valued Data Envelopment Analysis
Data Envelopment Analysis (DEA) is a nonparametric approach for measuring the relative efficiency of a decision making units consists of multiple inputs and outputs. In all standard DEA models semi positive real valued measures are assumed, while in some real cases inputs and outputs may take complex valued. The question is related to measuring efficiency in such cases. As far as we are aware, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Nonlinear Science
سال: 2010
ISSN: 0938-8974,1432-1467
DOI: 10.1007/s00332-010-9062-1