Factorization of the nonlinear Schrödinger equation and applications

DOI10.1080/17476930500481400zbMath1119.30028arXivmath/0509018OpenAlexW2027340747MaRDI QIDQ3423504

Swanhild Bernstein

Publication date: 14 February 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509018

zbMATH Keywords

Dirac operatorClifford analysisSchroedinger operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Boundary value problems for nonlinear first-order PDEs (35F30) Second-order parabolic equations (35K10)

Related Items (12)

On weighted Dirac operators and their fundamental solutions for anisotropic media ⋮ On a three-dimensional Riccati differential equation and its symmetries ⋮ On fractional semidiscrete Dirac operators of Lévy–Leblond type ⋮ Variational principles in quaternionic analysis with applications to the stationary MHD equations ⋮ On the construction of solutions for the parabolic Dirac operator and equivalent systems ⋮ Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds ⋮ On a factorization of the Schrödinger and Klein-Gordon operators ⋮ Cauchy theorem for a surface integral in commutative algebras ⋮ Constructing new nonlinear evolution equations with supersymmetry ⋮ On the diffusion equation and diffusion wavelets on flat cylinders and the n-torus ⋮ Theory of integral operators in parametric Clifford type algebras ⋮ Commutative Algebras Associated with Classic Equations of Mathematical Physics

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