Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry

Eckehard W. Mielke

doi:10.1103/physrevd.18.4525

Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry

Physical Review D ◽

10.1103/physrevd.18.4525 ◽

1978 ◽

Vol 18 (12) ◽

pp. 4525-4528 ◽

Cited By ~ 19

Author(s):

Eckehard W. Mielke

Keyword(s):

Riemannian Geometry ◽

Gordon Equation ◽

Localized Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Localized solutions of the nonlinear Heisenberg-Klein-Gordon equation: In flat and exterior Schwarzschild space-time

Physical Review D ◽

10.1103/physrevd.20.1303 ◽

1979 ◽

Vol 20 (6) ◽

pp. 1303-1312 ◽

Cited By ~ 10

Author(s):

Wolfgang Deppert ◽

Eckehard W. Mielke

Keyword(s):

Gordon Equation ◽

Space Time ◽

Localized Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

On the nonlinear (3 + 1)-dimensional Klein–Gordon equation allowing oscillating localized solutions

JETP Letters ◽

10.1134/s0021364015140040 ◽

2015 ◽

Vol 102 (2) ◽

pp. 122-124 ◽

Cited By ~ 3

Author(s):

E. G. Ekomasov ◽

R. K. Salimov

Keyword(s):

Gordon Equation ◽

Localized Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Relativistic Point Dynamics and Einstein Formula as a Property of Localized Solutions of a Nonlinear Klein-Gordon Equation

Communications in Mathematical Physics ◽

10.1007/s00220-013-1732-z ◽

2013 ◽

Vol 322 (2) ◽

pp. 453-499 ◽

Cited By ~ 6

Author(s):

Anatoli Babin ◽

Alexander Figotin

Keyword(s):

Gordon Equation ◽

Localized Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Interacting Localized Solutions of the Nonlinear Klein—Gordon Equation with a Variable Mass

JETP Letters ◽

10.1134/s002136402003011x ◽

2020 ◽

Vol 111 (3) ◽

pp. 193-195

Author(s):

R. K. Salimov ◽

E. G. Ekomasov

Keyword(s):

Gordon Equation ◽

Variable Mass ◽

Localized Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Solutions of the Coupled Klein-Gordon Equation by Modified Exp-Function Method

Indian Journal Of Applied Research ◽

10.15373/2249555x/mar2013/90 ◽

2011 ◽

Vol 3 (3) ◽

pp. 276-278

Author(s):

Ram Dayal Pankaj ◽

◽

Arun Kumar

Keyword(s):

Function Method ◽

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Analytical approximations to the l-wave solutions of the Klein–Gordon equation with position-dependent mass for mixed vector and scalar Hulthén-type potentials by using SUSYQM approach

Indian Journal of Physics ◽

10.1007/s12648-021-02068-3 ◽

2021 ◽

Author(s):

N. Zaghou ◽

F. Benamira ◽

L. Guechi

Keyword(s):

Gordon Equation ◽

Analytical Approximations ◽

Wave Solutions ◽

Klein Gordon ◽

Dependent Mass ◽

Position Dependent Mass ◽

Klein Gordon Equation

Download Full-text

Fractional Klein-Gordon equation with singular mass

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.110579 ◽

2021 ◽

Vol 143 ◽

pp. 110579

Author(s):

Arshyn Altybay ◽

Michael Ruzhansky ◽

Mohammed Elamine Sebih ◽

Niyaz Tokmagambetov

Keyword(s):

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

An elementary proof of the existence of monotone traveling waves solutions in a generalized Klein–Gordon equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7446 ◽

2021 ◽

Author(s):

Adrian Gomez ◽

Nolbert Morales ◽

Manuel Zamora

Keyword(s):

Traveling Waves ◽

Elementary Proof ◽

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text

Exact solutions of non-linear Klein–Gordon equation with non-constant coefficients through the trial equation method

Journal of Mathematical Chemistry ◽

10.1007/s10910-021-01220-y ◽

2021 ◽

Author(s):

Jorge E. Macías-Díaz ◽

María G. Medina-Guevara ◽

Héctor Vargas-Rodríguez

Keyword(s):

Exact Solutions ◽

Gordon Equation ◽

Equation Method ◽

Trial Equation Method ◽

Non Linear ◽

Klein Gordon ◽

Constant Coefficients ◽

Klein Gordon Equation

Download Full-text

Space–time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.04.015 ◽

2021 ◽

Author(s):

Fatemeh Mohammadizadeh ◽

Saeede Rashidi ◽

S. Reza Hejazi

Keyword(s):

Conservation Laws ◽

Gordon Equation ◽

Space Time ◽

Symmetry Analysis ◽

Numerical Approximations ◽

Klein Gordon ◽

Klein Gordon Equation

Download Full-text