Stationary Solutions of Quasi-Linear Schrödinger–Poisson Systems
نویسندگان
چکیده
منابع مشابه
Solutions of Fuzzy Linear Systems using Ranking function
In this work, we propose an approach for computing the compromised solution of an LR fuzzy linear system by using of a ranking function when the coefficient matrix is a crisp mn matrix. To do this, we use expected interval to find an LR fuzzy vector, X , such that the vector (AX ) has the least distance from (b) in 1 norm and the 1 cut of X satisfies the crisp linear system AX = b ...
متن کاملLinear adiabatic dynamics of a polytropic convection zone with an isothermal atmosphere II. Quasi-stationary solutions
For a plane model of the exterior parts of the sun, the behavior of adiabatic waves with complex frequencies is investigated. The equilibrium configuration is a one-layer model with isentropic stratification at great depth and an asymptotically isothermal atmosphere. The wave equation reduces to Whittaker’s equation with complex parameters. By the assumption that only outgoing progressive waves...
متن کاملExact and numerical solutions of linear and non-linear systems of fractional partial differential equations
The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...
متن کاملA Derivative-free Algorithm for Finding Least Squares Solutions of Quasi-linear and Linear Systems
A novel derivative-free algorithm for solving quasilinear systems is presented. It resembles “classical” optimization approach but greatly simplifies computation, resulting in fast execution and numerical stability. Though the global convergence cannot be guaranteed, it turns out that the presented algorithm finds a solution as successfully as other commonly accepted methods. The algorithm is c...
متن کاملSolutions to Problems for Quasi-Linear PDEs
(a) At what time ts and position xs does a shock first form? (b) Identify the important values of s and find the corresponding characteristics. Sketch the characteristics and indicate the region in the xt-plane in which the solution is well-defined (i.e. does not break down). (c) Construct tables as in class for the x and u values at the important values of s for times t = 0, 2/3, 4/3. Use thes...
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 Differential Equations
سال: 1998
ISSN: 0022-0396
DOI: 10.1006/jdeq.1997.3405