๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Bound to the number of oscillatory phases in the solution of the Whitham-KdV equations

โœ Scribed by T. Grava

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
360 KB
Volume
254
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

โœฆ Synopsis

An upper bound to the number of interacting oscillatory phases in the solution of the Whitham-KdV equations is proved fx monotone decreasing polynomial initial data.

๐Ÿ“œ SIMILAR VOLUMES

New sets of solitary wave solutions to t
New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations
โœ Abdul-Majid Wazwaz ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new s

The Number of Solutions of Bounded Heigh
The Number of Solutions of Bounded Height to a System of Linear Equations
โœ J.L. Thunder ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 593 KB

We count the number of solutions with height less than or equal to \(B\) to a system of linear equations over a number field. We give explicit asymptotic estimates for the number of such solutions as \(B\) goes to infinity, where the constants involved depend on the classical invariants of the numbe