MODULATION WAVE EQUATION FOR SPRING-BLOCK ORBITS WITH NONLINEAR RATE AND STATE FRICTION

Wave and Equation Based Rate Control (WEBRC) Building Block

This document specifies Wave and Equation Based Rate Control (WEBRC), which provides rate and congestion control for data delivery. WEBRC is specifically designed to support protocols using IP multicast. It provides multiple-rate, congestion-controlled delivery to receivers, i.e., different receivers joined to the same session may be receiving packets at different rates depending on the bandwid...

Infinite dimensional hamiltonian systems and nonlinear wave equation: periodic orbits with long minimal period

Persistent Homoclinic Orbits for Nonlinear Schrödinger Equation Under Singular Perturbation

Existence of homoclinic orbits in the cubic nonlinear Schrödinger equation under singular perturbations is proved. Emphasis is placed upon the regularity of the semigroup eǫt∂ 2 x at ǫ = 0. This article is a substantial generalization of [3], and motivated by the effort of Dr. Zeng [9] [8]. The mistake of Zeng in [8] is corrected with a normal form transform approach. Both one and two unstable ...

Forced Vibrations for a Nonlinear Wave Equation

Nonlinear wave evolution equation for critical layers.

Recent studies of the evolution of weakly nonlinear long waves in shear flows have revealed that when the wave field contains a critical layer, a new nonlinear wave equation is needed to describe the wave evolution. This equation is of the same type as the well-known Korteweg-de Vries equation but has a more complicated nonlinear structure. Our main interest is in the steady solitary wave solut...