2010
2
2
2
0
SOLVING NONLINEAR KLEINGORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
2
2
In this paper, nonlinear KleinGordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.
1

162
172


H.
Jafari
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 474161467, Babolsar, Iran.
Department of Mathematics and Computer Science,
Iran
jafari@umz.ac.ir


M.
Saeidy
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 474161467, Babolsar, Iran.
Department of Mathematics and Computer Science,
Iran


M.
Arab Firoozjaee
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 474161467, Babolsar, Iran.
Department of Mathematics and Computer Science,
Iran
KLEINGORDON
Homotopy analysis method
Adomian decomposition method
PARTIAL DIFFERENTIAL EQUATION
Homotopy perturbation method
APPLICATION OF EXPFUNCTION METHOD TO THE (2+1)DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
2
2
In this paper, the Expfunction method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applications are promising. It is shown that the Expfunction method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving Calogero Bogoyavlanskii Schiff equation.
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174
193


Z.
AYATI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES,
Iran


J.
BIAZAR
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES,
Iran
biazar@guilan.ac.ir
EXPFUNCTION METHOD
CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
PARTIAL DIFFERENTIAL EQUATION
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
2
2
In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.
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194
204


M.
MOSLEH
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University
Iran


M.
OTADI
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
Department of mathematics, Islamic Azad University
Iran
mahmood_otadi@yahoo.com


A.
KHANMIRZAIE
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University
Iran
SYMMETRIC AND TRIANGULAR DECOMPOSITION
Fuzzy System
SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION