✦ LIBER ✦

Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation

✍ Scribed by Shaolong Xie; Jionghui Cai

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 645 KB
Volume: 14
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.02.001

No coin nor oath required. For personal study only.

✦ Synopsis

The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated.

📜 SIMILAR VOLUMES

Exact cross kink-wave solutions and reso

Exact cross kink-wave solutions and resonance for the Jimbo–Miwa equation

✍ Zhengde Dai; Zitian Li; Zhenjiang Liu; Donglong Li 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 436 KB

In this paper, we obtain a new class of exact cross kink-wave and periodic solitary-wave solutions for Jimbo-Miwa equation by using two-soliton method, bilinear method and transforming parameters into complex ones. Moreover, we investigate singular and non-singular phenomenons of solutions. In addit

New compacton solutions and solitary wav

New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa–Holm equations

✍ Lixin Tian; Jiuli Yin 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 647 KB

Exact solutions of nonlinear generalizat

Exact solutions of nonlinear generalizations of the wave equation

✍ Philip B. Burt 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 130 KB

New exact compacton, peakon and solitary

New exact compacton, peakon and solitary solutions of the generalized Boussinesq-like equations with nonlinear dispersion

✍ Lijun Zhang; Li-Qun Chen; Xuwen Huo 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 216 KB

Existence of periodic traveling wave sol

Existence of periodic traveling wave solutions for the Ostrovsky equation

✍ Naoyuki Ishimura; Tetsu Mizumachi 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 82 KB 👁 2 views

## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig

Exact periodic cross-kink wave solutions

Exact periodic cross-kink wave solutions and breather type of two-solitary wave solutions for the (3 + 1)-dimensional potential-YTSF equation

✍ Zitian Li; Zhengde Dai 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 589 KB

In this paper, the (3 + 1)-dimensional potential-YTSF equation is investigated. Exact solutions with three-wave form including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions are obtained using Hirota's bilinear form and generalized three-wave ap