Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

Hironobu Sasaki;

doi:10.3934/dcds.2006.15.973

Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2006.15.973 ◽

2006 ◽

Vol 15 (3) ◽

pp. 973-981 ◽

Cited By ~ 4

Author(s):

Hironobu Sasaki ◽

Keyword(s):

Gordon Equation ◽

Small Data ◽

Klein Gordon ◽

Klein Gordon Equation

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Small data scattering for the Klein-Gordon equation with a cubic convolution

Asymptotic Analysis and Singularities — Hyperbolic and dispersive PDEs and fluid mechanics ◽

10.2969/aspm/04710321 ◽

2019 ◽

Author(s):

Hironobu Sasaki

Keyword(s):

Gordon Equation ◽

Small Data ◽

Klein Gordon ◽

Klein Gordon Equation

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Asymptotic properties of solutions of the Maxwell Klein Gordon equation with small data

Communications in Analysis and Geometry ◽

10.4310/cag.2017.v25.n1.a2 ◽

2017 ◽

Vol 25 (1) ◽

pp. 25-96 ◽

Cited By ~ 4

Author(s):

Lydia Bieri ◽

Shuang Miao ◽

Sohrab Shahshahani

Keyword(s):

Gordon Equation ◽

Asymptotic Properties ◽

Small Data ◽

Klein Gordon ◽

Klein Gordon Equation

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Nonlinear small data scattering for the wave and Klein-Gordon equation

Mathematische Zeitschrift ◽

10.1007/bf01181697 ◽

1984 ◽

Vol 185 (2) ◽

pp. 261-270 ◽

Cited By ~ 83

Author(s):

Hartmut Pecher

Keyword(s):

Gordon Equation ◽

Small Data ◽

Klein Gordon ◽

Klein Gordon Equation

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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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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 ◽

Non Linear ◽

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 ◽

Space Time ◽

Symmetry Analysis ◽

Numerical Approximations ◽

Klein Gordon ◽

Klein Gordon Equation

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Scattering Theory for the Charged Klein–Gordon Equation in the Exterior De Sitter–Reissner–Nordström Spacetime

Journal of Geometric Analysis ◽

10.1007/s12220-021-00655-8 ◽

2021 ◽

Author(s):

Nicolas Besset

Keyword(s):

Scattering Theory ◽

Gordon Equation ◽

De Sitter ◽

Klein Gordon ◽

Klein Gordon Equation

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