Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-572302220100701SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD162172513246ENH. JafariDepartment of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.M. SaeidyDepartment of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.M. Arab FiroozjaeeDepartment of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.Journal Article20090407<span>In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).</span><br /><span>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.</span>http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-572302220100701APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION174193513247ENZ. AYATIDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANJ. BIAZARDEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRANJournal Article20090411<span>In this paper, the Exp-function 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 Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving Calogero Bogoyavlanskii Schiff equation.</span>http://ijo.iaurasht.ac.ir/article_513247_bcd484fddc550beff06d3b14ac752513.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-572302220100701DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS194204513248ENM. MOSLEHDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranM. OTADIDepartment of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,IranA. KHANMIRZAIEDepartment of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,IranJournal Article20090407<span>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.</span>http://ijo.iaurasht.ac.ir/article_513248_291741359f21a9d070a568157cb45eae.pdf