Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations
نویسندگان
چکیده
منابع مشابه
Analytical solutions for the fractional Klein-Gordon equation
In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.
متن کاملFractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations
and Applied Analysis 3 of φj (j = 0, 1, . . . , 5) to zero, we finally end up with a system of algebraic equations, namely,
متن کاملApproximate Series Solution of Nonlinear, Fractional Klein- Gordon Equations Using Fractional Reduced Differential Transform Method
Corresponding Author: Mohammed Al-Smadi Department of Applied Science, Ajloun College, AlBalqa Applied University, Ajloun 26816, Jordan Email: [email protected] Abstract: This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Red...
متن کاملStrong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
We study here instability problems of standing waves for the nonlinear Klein-Gordon equations and solitary waves for the generalized Boussinesq equations. It is shown that those special wave solutions may be strongly unstable by blowup in finite time, depending on the range of the wave’s frequency or the wave’s speed of propagation and on the nonlinearity.
متن کاملWave Operators for the Coupled Klein-Gordon-Schrödinger Equations in Two Space Dimensions
In this paper, we study the scattering theory for the coupled KleinGordon-Schrödinger equation (the KGS equation) with the Yukawa type interaction, which is the certain quadratic interaction, in two space dimensions. It is well-known that for the two dimensional decoupled nonlinear Schrödinger and Klein-Gordon equations with the typical nonlinearity of the form |u|p−1u, there exist wave operato...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Results in Physics
سال: 2018
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2017.12.051