Results 21 to 30 of about 57 (57)

High order multiscale analysis of discrete integrable equations [PDF]

Open Communications in Nonlinear Mathematical Physics
In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions
Rafael Hernandez Heredero, Decio Levi, Christian Scimiterna   +2 more
doaj   +1 more source

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation

Advances in Nonlinear Analysis
In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain the
Shan Minjie, Chen Mingjuan, Lu Yufeng, Wang Jing   +3 more
doaj   +1 more source

Integrable system of null curve and Betchov-Da Rios equation

Demonstratio 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

Sharp well-posedness for the cubic NLS and mKdV in $H^s({{\mathbb {R}}})$

Forum of Mathematics, Pi
We prove that the cubic nonlinear Schrödinger equation (both focusing and defocusing) is globally well-posed in $H^s({{\mathbb {R}}})$ for any regularity $s>-\frac 12$ .
Benjamin Harrop-Griffiths, Rowan Killip, Monica Vişan   +2 more
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

Forum 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

Rogue peakon, posedness and blow-up phenomenon for an integrable Camassa–Holm type equation

Advances in Nonlinear Analysis
In this paper, we study an integrable Camassa–Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the equation is found to possess a new kind of peaked soliton (peakon ...
Zhu Mingxuan, Qiao Zhijun, Wang Zhidong, Jiang Zaihong   +3 more
doaj   +1 more source

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

Forum 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

Physics 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

UC and BUC plane partitions

European 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

Spread mechanism and control strategy of social network rumors under the influence of COVID-19. [PDF]

Nonlinear Dyn, 2020
Hui H, Zhou C, Lü X, Li J.
europepmc   +1 more source