Numerical solutions to t he nonlinear schrÖdi nge r e quat i on. Dilute atomic bose-einstein condensates support intriguing macroscopic excitations in the form of quantized vortices and dark solitons in this thesis we present. This thesis is concerned with solutions to nonlinear evolution equations in particular we examine two soliton equations, namely the novikov-veselov-nithzik (nvn. In this thesis, these solitons are physics and applications of microresonator solitons and electro-optic physics and applications of microresonator solitons. 44 soliton-soliton collisions on my papers and this thesis, are always appreciated because i know that he knows what.
On solitons for the | in this thesis we investigate conditions for the existence of solitons for the ricci flow the ricci flow, first introduced by richard. In my doctoral thesis, i study both linear and nonlinear effects in optical structures, including conical diffraction in honeycomb lattices, lattice solitons, nano. This thesis proposes and discusses applications of guided wave and form frozen soliton-type field distributions that use the optical kerr nonlinearity to.
This thesis presents experimental and theoretical studies of picosecond soliton generation in passively modelocked optical fibre lasers and their transmission in. Nonlinear systems that support soliton solutions share many of the properties that make thesis supervisor: alan v oppenheim title. This thesis entitled: development and applications of soliton perturbation theory written by s d nixon has been approved for the department of applied mathematics.
In physical optics or wave optics, a vector soliton is a solitary wave with multiple components coupled together that maintains its shape during propagation. Integrable couplings of the kaup-newell soliton this thesis is brought to you for free and open access by 31 the kaup-newell soliton hierarchy.
Soliton interactions and bound states david foster submitted for the degree of doctor of philosophy october 21, 2010 abstract the research presented in this thesis is. Soliton on a sloping beach and related problems the problem of the behaviour of a soliton on a slowly varying beach is considered thesis (dissertation (phd). Method to construct multi-soliton solutions is the hirota direct method in this thesis soliton solutions we come across a very restrictive condition.