scholarly journals Vortex ground states for Klein-Gordon-Maxwell-Proca type systems

2017 ◽  
Vol 58 (4) ◽  
pp. 041503 ◽  
Author(s):  
Pietro d’Avenia ◽  
Jarosław Mederski ◽  
Alessio Pomponio
Keyword(s):  
Ground States ◽  
Type Systems ◽  
Klein Gordon

scholarly journals Approximate Analytic Solutions of Two-Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Wayinhareg Gashaw Belayeh ◽  
Yesuf Obsie Mussa ◽  
Ademe Kebede Gizaw
Keyword(s):  
Numerical Solutions ◽  
Initial Conditions ◽  
Type Systems ◽  
Analytical Approximation ◽  
Differential Transform Method ◽  
Two Dimensional ◽  
Transform Method ◽  
Differential Transform ◽  
Klein Gordon ◽  
Reduced Differential Transform Method

In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions. The proposed technique has the advantage of producing an analytical approximation in a convergent power series form with a reduced number of calculable terms. Two test examples from mathematical physics are discussed to illustrate the validity and efficiency of the method. In addition, numerical solutions of the test examples are presented graphically to show the reliability and accuracy of the method. Also, the results indicate that the introduced method is promising for solving other type systems of NLPDEs.

Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

2018 ◽  
Vol 31 (2) ◽  
pp. 119-158 ◽  
Author(s):  
Hebey Emmanuel and Thizy Pierre-Damien
Keyword(s):  
Type Systems ◽  
Static Case ◽  
Klein Gordon

scholarly journals On the Existence of Ground States for a Nonlinear Klein-Gordon-Maxwell Type System

2018 ◽  
Vol 61 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Mathieu Colin ◽  
Tatsuya Watanabe
Keyword(s):  
Type System ◽  
Ground States ◽  
Klein Gordon

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States
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