Nonlinear vortex trail dynamics. II. Analytic solutions
نویسندگان
چکیده
منابع مشابه
Analytic solutions of a nonlinear convective equation in population dynamics
Analytic solutions are presented for a simple nonlinear convective equation of use in population dynamics. In spite of its simplicity the equation predicts rich behavior including a velocity inversion transition. Stability considerations are also presented. © 2003 Elsevier B.V. All rights reserved. PACS: 87.17.Aa; 87.17.Ee; 87.17.Jj
متن کاملAnalytic General Solutions of Nonlinear Difference Equations
There is no general existence theorem for solutions for nonlinear difference equations, so we must prove the existence of solutions in accordance with models one by one. In our work, we found theorems for the existence of analytic solutions of nonlinear second order difference equations. The main work of the present paper is obtaining representations of analytic general solutions with new metho...
متن کاملAnalytic Solutions of Nonlinear Cournot Duopoly Game
The main aim of this study is to construct an explicit form of an analytic solution of a multidimensional difference equation. To this end, we present a nonlinear Cournot duopoly model with unimodal reaction functions, show that its dynamical system is double logistic when the production externalities involved get stronger, and then give a constructive proof of the existence of an analytic solu...
متن کاملAnalytic Solutions to Repulsive Nonlinear Schrödinger Equation
In this paper we make use of the the sn-ns method to obtain new exact solutions to so called repulsive or de-focusing nonlinear Schrödinger equation. These solutions are given in terms of Jacobi elliptic functions sn and ns.
متن کاملAnalytic vortex solutions in an unusual Mexican hat potential
We introduce an unusual Mexican hat potential, a piecewise parabolic one, and we show that its vortex solutions can be found analytically, in contrast to the case of the standard |Ψ|4 field theory. Spontaneous symmetry breaking has been studied traditionally through the |Ψ| potential, V (Ψ) = λ(|Ψ| − v). (1) This potential is usually called a Mexican hat potential by particle physicists, even t...
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: Quarterly of Applied Mathematics
سال: 1993
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1205942