Results 31 to 40 of about 70 (63)

Riemann-Hilbert Problems with Canonical Normalization and Families of Commuting Operators [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 35Q15, 31A25, 37K10, 35Q58.We start with a Riemann-Hilbert Problems (RHP) with canon- ical normalization whose sewing functions depends on several additional vari- ables.
Gerdjikov, V. S.
core  

Integrable system of null curve and Betchov-Da Rios equation

open access: yesDemonstratio Mathematica
This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
doaj   +1 more source

Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on Zd $\mathbb Z^d$ double struck upper Z Superscript d

open access: yesForum of Mathematics, Sigma
We establish large sets of Anderson localized states for the quasi-periodic nonlinear Schrödinger equation on Zd $\mathbb Z^d$ double struck upper Z Superscript d , thus extending Anderson localization from the linear (cf. Bourgain [Geom.
Yunfeng Shi, Wei-Min Wang
doaj   +1 more source

Global well-posedness and soliton resolution for the half-wave maps equation with rational data

open access: yesForum of Mathematics, Sigma
We study the energy-critical half-wave maps equation: $$\begin{align*}\partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} \end{align*}$$
Patrick Gérard, Enno Lenzmann
doaj   +1 more source

Correlation functions of the generalized phase model

open access: yesPhysics Letters B
This paper is devoted to investigating the correlation functions of the generalized phase model by combining symmetric functions with charged fermions.
Denghui Li, Shengyu Zhang, Zhaowen Yan
doaj   +1 more source

Canonically Conjugate Variables for the μCH Equation [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
core  

UC and BUC plane partitions

open access: yesEuropean Physical Journal C: Particles and Fields
This paper is concerned with the investigation of UC and BUC plane partitions based upon the fermion calculus approach. We construct generalized the vertex operators in terms of free charged fermions and neutral fermions and present the interlacing ...
Shengyu Zhang, Zhaowen Yan
doaj   +1 more source

Pattern Transformation in Higher-Order Lump Solutions of the Generalized Calogero-Bogoyavlenskii-Schiff Equation

open access: yes
This paper, based on the Hirota bilinear method and the KP reduction tech- nique, derives the explicit expressions for general high-order lump solutions of the (2+1)- dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation.
Gui Mu   +4 more
core   +1 more source

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