Some exact solutions of a hyperbolic model of energy transmission in non-homogeneous media

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:354

Article; Proceedings Paper

Macias-Diaz, J. E.¹  Vargas-Rodriguez, Hector² 

[1] Univ Autonoma Aguascalientes, Dept Matemat & Fis, Ave Univ 940,Ciudad Univ, Aguascalientes 20131, Mexico

[2] Univ Guadalajara, Ctr Univ Lagos, Dept Ciencias Exactas & Tecnol, Enrique Diaz Leon 1144, Lagos De Moreno 47460, Jalisco, Mexico

关键词: Generalized wave equation;    Time-dependent coefficients;    Traveling-wave solutions;    Trial equation method;   

DOI  :  10.1016/j.cam.2018.07.005

来源: Elsevier

【 摘 要 】

In this note, we investigate the existence of exact solutions of a nonlinear partial differential equation with time-dependent coefficients that generalizes the well-known nonlinear wave model with damping. The model under consideration generalizes other classical models from physics, like the nonlinear Klein-Gordon equation, the (1 + 1)-dimensional phi(4)-theory, the Fisher-Kolmogorov equation from population dynamics and the Hodgkin-Huxley model used in the description of the propagation of electric signals through the nervous system. An extension of the trial equation method (also known as the direct integral method) for partial differential equations with non-constant coefficients is used in this work in order to derive traveling-wave solutions in exact form. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free