Premium
Symbolic computation of the potential in a nonlinear Schrödinger equation
Author(s) -
Kaçar Ahmet,
Terzi̇oğlu Ömer
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20192
Subject(s) - maple , symbolic computation , nonlinear system , computation , mathematics , partial differential equation , algebra over a field , mathematical analysis , pure mathematics , algorithm , physics , botany , quantum mechanics , biology
Our purpose in this article is to find a time‐dependent potential of the problem of conducting given initial data to given terminal data in a nonlinear Schrödinger equation. We get a condition for existence of a transferring potential. Using Maple, we give symbolic computations of equations for potential. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 475–483, 2007