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A Novel Method to Solve Nonlinear Klein-Gordon Equation Arising in Quantum Field Theory Based on Bessel Functions and Jacobian Free Newton-Krylov Sub-Space Methods
《Communications in Theoretical Physics》2018年第6期637-644,共8页K.ParAND M.Nikarya 
The Klein-Cordon equation arises in many scientific areas of quantum mechanics and quantum field theory. In this paper a novel method based on spectral method and Jacobian free Newton method composed by generalized mi...
关键词：nonlinear partial differential equation spectral collocation methods Jacobian free Newton-GMRes adaptive preconditioning Klein-Gordon equations nonlinear algebraic systems 
Application of Homotopy Analysis Method to Solve Relativistic Toda Lattice System
《Communications in Theoretical Physics》2010年第6期1111-1116,共6页王琪 
Supported by Leading Academic Discipline Program, 211 Project for Shanghai University of Finance and Economics (the 3rd phase)
In this letter, the homotopy analysis method is successfully applied to solve the Relativistic Toda lattice system. Comparisons are made between the results of the proposed method and exact solutions. Analysis results...
关键词：Jhomotopy analysis method relativistic Toda lattice system 
A Method to Solve the Schrdinger Equation for Any Power Hypercentral Potentials
《Communications in Theoretical Physics》2007年第7期151-158,共8页A.A.Rajabi 
An exact closed form of solution to the hyperradial Schrdinger equation is constructed for any generalcase comprising any hypercentral power and inverse-power potential.The hypercentral potential depends only on thehy...
关键词：POWER hypercenteral potential Shrdinger equation 
Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in （2＋1）-Dimensional Spaces被引量：19
《Communications in Theoretical Physics》2005年第4期585-590,共6页CHENJing XIEFu-Ding LüZhuo-Sheng 
国家重点基础研究发展计划(973计划)，辽宁省自然科学基金
The extended tanh method is further improved by generalizing the Riccati equation and introducing its twenty seven new solutions. As its application, the (2+ 1)-dimensional Broer-Kaup equation is investigated and then...
关键词：BK equations symbolic computation non-travelling wave solution 
Formulas to Solve the （2＋1）—Dimensional System：The （2＋1）—Extension of Classical Boussinesq System
《Communications in Theoretical Physics》2001年第5期519-522,共4页TIANYong－Bo CHENGYi 等 
国家自然科学基金，教育部科学技术研究项目，中国科学院资助项目
We deal with the (2 + 1)-extension of classical Boussinesq system,which can reduce to several meaningful(1 + 1)-dimensional systems.By studying its Lax pair,we put forward invariances of Lax pair at first,then a recur...
关键词：2+1-extension system Lax pair recursion formula 
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