Nonlinear Klein-Gordon and Sine-Gordon Equations

Nonlinear Partial Differential Equations for Scientists and Engineers ◽

10.1007/978-1-4899-2846-7_11 ◽

1997 ◽

pp. 453-499

Author(s):

Lokenath Debnath

Keyword(s):

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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

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Global regularity for Einstein-Klein Gordon system with $U(1) \times \mathbb{R}$ isometry group

The Role of Metrics in the Theory of Partial Differential Equations ◽

10.2969/aspm/08510533 ◽

2020 ◽

Author(s):

Haoyang Chen ◽

Yi Zhou

Keyword(s):

Isometry Group ◽

Global Regularity ◽

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A Note on Lower Bound Lifespan Estimates for Semi-linear Wave/Klein–Gordon Equations Associated with the Harmonic Oscillator

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-020-00486-3 ◽

2021 ◽

Author(s):

Qidi Zhang ◽

Lvsi Zheng

Keyword(s):

Lower Bound ◽

Harmonic Oscillator ◽

Linear Wave ◽

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Effects of dynamic deformation and fracture in the Klein – Gordon stress field

Procedia Structural Integrity ◽

10.1016/j.prostr.2020.10.100 ◽

2020 ◽

Vol 28 ◽

pp. 1303-1309

Author(s):

Liudmila Igusheva ◽

Yuri Petrov

Keyword(s):

Stress Field ◽

Dynamic Deformation ◽

Deformation And Fracture ◽

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Fast evaluation for the two-dimensional nonlinear coupled time–space fractional Klein–Gordon–Zakharov equations

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107148 ◽

2021 ◽

Vol 118 ◽

pp. 107148

Author(s):

Junqing Jia ◽

Huanying Xu ◽

Xiaoyun Jiang

Keyword(s):

Two Dimensional ◽

Fast Evaluation ◽

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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

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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

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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

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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 ◽

Klein Gordon ◽

Constant Coefficients ◽

Klein Gordon Equation

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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 ◽

Symmetry Analysis ◽

Numerical Approximations ◽

Klein Gordon ◽

Klein Gordon Equation

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