Results 41 to 50 of about 936 (79)

Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras [PDF]

, 2006
The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees of freedom is generalized to ...
Gerdjikov, Vladimir S., Grahovski, Georgi G.   +1 more
core   +4 more sources

A Liouville theorem for the Degasperis-Procesi equation [PDF]

, 2015
We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution.
Brandolese, Lorenzo
core  

On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability [PDF]

, 2010
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm.
Golenia, Jolanta, Pavlov, Maxim V., Popowicz, Ziemowit, Prykarpatsky, Anatoliy K.   +3 more
core   +4 more sources

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

Invertible Darboux Transformations [PDF]

, 2013
For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae.
Shemyakova, Ekaterina
core   +3 more sources

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

The sixth Painleve equation arising from D_4^{(1)} hierarchy

, 2006
The sixth Painleve equation arises from a Drinfel'd-Sokolov hierarchy associated with the affine Lie algebra of type D_4 by similarity reduction.Comment: 14 ...
Carter R, Delduc F, Iwasaki K, Kac V G, Kakei S Kikuchi T, Kawamuko H, Kenta Fuji, Noumi M, Noumi M, Noumi M Yamada Y Kirillov A N Tsuchiya A Umemura H, Takao Suzuki   +10 more
core   +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

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

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