𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by Zhengde Dai; Zitian Li; Zhenjiang Liu; Donglong Li

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
436 KB
Volume
384
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

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 addition, we study the resonance and non-resonance interactions between y2t periodic solitons and different line solitons.

📜 SIMILAR VOLUMES

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

Exact periodic kink-wave and degenerativ
Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev–Petviashvili equation
✍ Zhengde Dai; Jun Liu; Zhenjiang Liu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 573 KB

Exact periodic kink-wave solution, periodic soliton and doubly periodic solutions for the potential Kadomtsev-Petviashvii (PKP) equation are obtained using homoclinic test technique and extended homoclinic test technique, respectively. It is investigated that periodic soliton is degenerated into dou

Exact compacton and generalized kink wav
Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation
✍ Shaolong Xie; Jionghui Cai 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 645 KB

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 generali

New exact travelling wave solutions for
New exact travelling wave solutions for the Kawahara and modified Kawahara equations
✍ Sirendaoreji 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 79 KB

By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equations. By this method the Kawahara and the modified Kawahara equations are investigated and new exact travelling