✦ LIBER ✦

Compactons in a class of nonlinear dispersive equations

✍ Scribed by A.-M. Wazwaz

Book ID: 104351171
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 606 KB
Volume: 37
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(03)00010-4

No coin nor oath required. For personal study only.

✦ Synopsis

In

this work, we study the compactons structures in a class of nonlinear dispersive equations. The compactons, new form of solitary waves free of exponential tails and width independent of amplitude, are formally constructed. We further establish solitary patterns solutions for the defocusing-branches of these models.

📜 SIMILAR VOLUMES

Compacton solutions of the Kawahara-type

Compacton solutions of the Kawahara-type nonlinear dispersive equation

✍ Abdul-Majid Wazwaz 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 152 KB

Compacton solutions of higher order nonl

Compacton solutions of higher order nonlinear dispersive KdV-like equations

✍ Abdul-Majid Wazwaz 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Linear stability of weak-compacton solut

Linear stability of weak-compacton solutions to the nonlinear dispersive Ostrovsky equation

✍ Jiuli Yin; Lixin Tian 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 458 KB

Forced Oscillations of a Class of Nonlin

Forced Oscillations of a Class of Nonlinear Dispersive Wave Equations and their Stability

✍ Muhammad Usman; Bingyu Zhang 📂 Article 📅 2007 🏛 Academy of Mathematics and Systems Science, Chines 🌐 English ⚖ 261 KB

General compactons solutions for the foc

General compactons solutions for the focusing branch of the nonlinear dispersive K(n,n) equations in higher-dimensional spaces

✍ Abdul-Majid Wazwaz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 115 KB

Integral approach to compacton solutions

Integral approach to compacton solutions of Boussinesq-like B(m,n) equation with fully nonlinear dispersion

✍ Zhengrong Liu; Qingmei Lin; Qixiu Li 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 147 KB

There exists much good work in the area of usual solitons, but there appears little in the field of compacton solutions. Only a few mathematical tools were employed so far. Recently, Yan [Chaos, Solitons & Fractals 14 (2002) 1151] extended the decomposition method to seek compacton solutions of Bðm;