Stochastic Effects for the Reaction-Duffing Equation with Wick-Type Product-Reference-Cited by-同舟云学术

Stochastic Effects for the Reaction-Duffing Equation with Wick-Type Product

Published:2016 Issue: Volume:2016 Page:1-11
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Choi Jin Hyuk¹^ORCID,Lee SeungGwan¹^ORCID,Kim Hyunsoo²^ORCID

Affiliation:

1. Humanitas College, Kyung Hee University, Yongin 446-701, Republic of Korea

2. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

Abstract

We construct new explicit solutions of the Wick-type stochastic reaction-Duffing equation arising from mathematical physics with the help of the white noise theory and the system technique. Based on these exact solutions, we also discuss the influences of stochastic effects for dynamical behaviors according to functionsh1(t),h2(t), and Brownian motionB(t)which are the solitary wave group velocities.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/9062343.pdf

Reference27 articles.

1. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

2. The Jacobi elliptic function solutions to a generalized Benjamin–Bona–Mahony equation

3. Exact travelling wave solutions for two nonlinear evolution equations using the improved F-expansion method

4. New exact travelling wave solutions for the Kawahara and modified Kawahara equations

5. Exact solutions for the fourth order nonlinear Schrodinger equations with cubic and power law nonlinearities

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system;Scientific Reports;2024-02-14

2. Coupled Fractional Traveling Wave Solutions of the Extended Boussinesq–Whitham–Broer–Kaup-Type Equations with Variable Coefficients and Fractional Order;Symmetry;2021-08-01

3. New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation;International Journal of Biomathematics;2018-05

4. Soliton solutions for the space-time nonlinear partial differential equations with fractional-orders;Chinese Journal of Physics;2017-04

5. Bell-shaped and kink-shaped solutions of the generalized Benjamin-Bona-Mahony-Burgers equation;Results in Physics;2017