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Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
Multi-hump solitary waves of nonlinear Dirac equation
Nonlinear Dirac equation Solitary wave
2014/9/26
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equa-tion with a general self-interaction, being a linear combination of the scalar,
pseudoscalar, vector and axial vector self-in...
Stability of solitary waves for the generalized higher-order Boussinesq equation
Boussinesq equation solitary waves stability Analysis of PDEs
2011/9/19
Abstract: This work studies the stability of solitary waves of a class of sixth-order Boussinesq equations.
Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in $ \mathbb{R}^3$
Asymptotic stability of small solitary waves nonlinear Schrö dinger equations electromagnetic potential $ \mathbb{R}^3$
2011/1/17
We consider the nonlinear magnetic Schr¨odinger equation for u : R3 × R → C,iut = (i∇ + A)2u + V u + g(u), u(x, 0) = u0(x),where A : R3 → R3 is the magnetic potential, V : R3 → R is the electric...
Stability of solitary waves of a generalized two-component Camassa-Holm system
Stability of solitary waves generalized two-component Camassa-Holm system
2010/12/6
We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions,we show that there are solitary waves with...
Solitary waves in coupled nonlinear Schrodinger equations with spatially inhomogeneous nonlinearities
Solitary waves inhomogeneous nonlinearities nonlinear Schrodinger equations
2010/4/1
Using Lie group theory we construct explicit solitary wave solutions of coupled nonlinear Schrodinger systems with spatially inhomogeneous nonlinearities. We present the general theory, use it to cons...
ORBITAL STABILITY OF SOLITARY WAVES FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS
Solitary wave stability Klei
2007/12/10
This paper concerns the orbital stability of solitary waves of the Klein- Gordon- Zakharov equations. By applying the abstract results of [1, 2] and detailed spectral analysis, we obtain the stability...