Results 21 to 30 of about 1,721 (102)
Quantum Super-Integrable Systems as Exactly Solvable Models [PDF]
, 2007 We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated.
Fordy, Allan P.
core +3 more sources
The asymptotic limits of zero modes of massless Dirac operators
, 2007 Asymptotic behaviors of zero modes of the massless Dirac operator $H=\alpha\cdot D + Q(x)$ are discussed, where $\alpha= (\alpha_1, \alpha_2, \alpha_3)$ is the triple of $4 \times 4$ Dirac matrices, $ D=\frac{1}{i} \nabla_x$, and $Q(x)=\big(q_{jk} (x) \
A.A. Balinsky +13 more
core +2 more sources
Heat-flow monotonicity of Strichartz norms [PDF]
, 2008 Most notably we prove that for $d=1,2$ the classical Strichartz norm $$\|e^{i s\Delta}f\|_{L^{2+4/d}_{s,x}(\mathbb{R}\times\mathbb{R}^d)}$$ associated to the free Schr\"{o}dinger equation is nondecreasing as the initial datum $f$ evolves under a certain ...
Bennett, Jonathan +3 more
core +2 more sources
, 2017 Virial identities for nonlinear Schrödinger equations with some strongly singular potential (a|x|−2 ) are established. Here if a = a(N) :=−(N−2)2/4 , then Pa(N) :=−Δ+a(N)|x|−2 is nonnegative selfadjoint in the sense of Friedrichs extension.
Toshiyuki Suzuki
semanticscholar +1 more source
Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory [PDF]
, 2016 In the present study we are interested in the Davey-Stewartson equations (DSE) that model packets of surface and capillary-gravity waves. We focus on the elliptic-elliptic case, for which it is known that DSE may develop a finite-time singularity.
Yanqiu Guo, Irma Hacinliyan, E. Titi
semanticscholar +1 more source
, 2016 In this paper, the F-expansion method has been used to find several types of exact solutions of the higher-order nonlinear Schrödinger (HONLS) equation with cubic-quintic nonlinearities, self-steeping and self-frequency shift effects which describes the ...
M. M. Hassan +2 more
semanticscholar +1 more source
Multi-solitons for nonlinear Klein–Gordon equations
Forum of Mathematics, Sigma, 2014 In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
doaj +1 more source
Blow-up for self-interacting fractional Ginzburg-Landau equation
, 2017 The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained ...
Fujiwara, Kazumasa +2 more
core +1 more source
A new approach to linear and nonlinear Schrodinger equations using the natural decomposition method
, 2014 In this paper, we proposed a new computational algorithms called a new approach to linear and nonlinear Schrödinger equations using the Natural Decomposition Method (NDM).
Shehu Maitama
semanticscholar +1 more source
, 2015 We consider the magnetic Schrödinger operator in an exterior domain Ω ⊂ R with starshaped boundary with respect to the origin. We prove uniform resolvent estimates under suitable decay and smallness conditions on the magnetic field and external potential.
K. Mochizuki, H. Nakazawa
semanticscholar +1 more source