𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The periodic soliton resonance: Solutions to the Kadomtsev-Petviashvili equation with positive dispersion

✍ Scribed by Masayoshi Tajiri; Youichi Murakami

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
287 KB
Volume
143
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A New Class of Soliton Solutions for the
A New Class of Soliton Solutions for the (Modified) Kadomtsev-Petviashvili Equation
✍ Walter Renger 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 675 KB

We construct solutions of the Kadomtsev-Petviashvili equation and its counterpart, the modified Kadomtsev-Petviashvili equation, with an infinite number of solitons by a careful armination of the limits of N -soliton solutions as N --t OQ. We give sufficient conditions to ensure that these limits ex

1-Soliton solution of the generalized Ca
1-Soliton solution of the generalized Camassa–Holm Kadomtsev–Petviashvili equation
✍ Anjan Biswas 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 143 KB

An exact 1-soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation is obtained in this paper by the solitary wave ansatze. This solution is a generalized form of the solution that is obtained in earlier works.

Periodic and solitary traveling wave sol
Periodic and solitary traveling wave solutions for the generalized Kadomtsev–Petviashvili equation
✍ A. A. Pankov; K. Pflüger 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB 👁 2 views

This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove