𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New solitons and periodic wave solutions for the dispersive long wave equations

✍ Scribed by A. Elgarayhi


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
246 KB
Volume
361
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Similarity solutions of dispersive long-
✍ Lou Sen-Yue 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 634 KB

## Abstract In this paper, both the direct method and the non‐classical Lie approach are applied to reduce the (2 + 1)‐dimensional dispersive long wave equations. Nine types of two‐dimensional PDE reductions and 13 types of ODE reductions are given. All the known reductions obtained by the classica

Exact periodic kink-wave and degenerativ
✍ 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

Interaction Equations for Short and Long
✍ Daniella Bekiranov; Takayoshi Ogawa; Gustavo Ponce 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 380 KB

## dedicated to professor rentaro agemi on his sixtieth birthday We show the time-local well-posedness for a system of nonlinear dispersive equations for the water wave interaction It is shown that for any initial data (u 0 , v 0 ) # H s (R)\_H s&1Â2 (R) (s 0), the solution for the above equation

Blowup phenomena for a new periodic nonl
✍ Qiaoyi Hu; Zhaoyang Yin 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 136 KB 👁 1 views

## Abstract We first establish the local well‐posedness for a new periodic nonlinearly dispersive wave equation. We then present a precise blowup scenario and several blowup results of strong solutions to the equation. The obtained blowup results on the equation improve considerably recent results

New solitary wave and periodic wave solu
✍ Dianchen Lu; Baojian Hong; Lixin Tian 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 147 KB

In this paper, we first introduced improved projective Riccati method by means of two simplified Riccati equations. Applying the improved method, we consider the general types of KdV and KdV-Burgers equations with nonlinear terms of any order. As a result, many explicit exact solutions, which contai