𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New multiple soliton solutions to the general Burgers–Fisher equation and the Kuramoto–Sivashinsky equation

✍ Scribed by Huaitang Chen; Hongqing Zhang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
92 KB
Volume
19
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

A generalized tanh function method is used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. More new multiple soliton solutions are obtained for the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation.

📜 SIMILAR VOLUMES

A modified tanh–coth method for solving
A modified tanh–coth method for solving the general Burgers–Fisher and the Kuramoto–Sivashinsky equations
✍ Luwai Wazzan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 222 KB

In this work we use a modified tanh-coth method to solve the general Burgers-Fisher and the Kuramoto-Sivashinsky equations. The main idea is to take full advantage of the Riccati equation that the tanh-function satisfies. New multiple travelling wave solutions are obtained for the general Burgers-Fi

Extending the generalized tanh method to
Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions
✍ Bo Tian; Yi-Tian Gao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 241 KB

To certain nonlinear evolution equations, the tanh method has been generalized for constructing not only solitary-wave but also soliton-like solutions. In this paper, no loss of conciseness, we further extend the generalized tanh method with computerized symbolic computation to a pair of generalized

Existence and decay rates of solutions t
Existence and decay rates of solutions to the generalized Burgers equation
✍ Jinghua Wang; Hui Zhang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 183 KB

In this paper we study the generalized Burgers equation u t + (u 2 /2) x = f (t)u xx , where f (t) > 0 for t > 0. We show the existence and uniqueness of classical solutions to the initial value problem of the generalized Burgers equation with rough initial data belonging to L ∞ (R), as well it is o