Results 31 to 40 of about 4,590 (301)
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
doaj +1 more source
Mathematics, 2019 In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
doaj +1 more source
Lax pair for strings in Lunin-Maldacena background [PDF]
Journal of High Energy Physics, 2005 Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS_5 x S^5 background to generate a supergravity solution dual to a so-called beta-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the beta-deformed background for real beta, and show that solutions of string theory ...
openaire +4 more sources
On the Propagation Model of Two-Component Nonlinear Optical Waves
Axioms, 2023 Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated.
Aleksandr O. Smirnov, Eugeni A. Frolov
doaj +1 more source
Lagrangian and Hamiltonian structures in an integrable hierarchy and space–time duality
Nuclear Physics B, 2016 We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equation (NLEE) in the hierarchy, dual integrable structures are characterized ...
Jean Avan +3 more
doaj +1 more source
Long-time asymptotics for an integrable evolution equation with a 3 x 3 Lax pair
, 2021 We derive a Riemann-Hilbert representation for the solution of an integrable nonlinear evolution equation with a 3 x 3 Lax pair. We use the derived representation to obtain formulas for the long-time asymptotics.
Charlier, Christophe,, Lenells, Jonatan,
core +1 more source
NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR
Наука. Инновации. Технологии, 2022 Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya +1 more
doaj
The Lax pairs for the Holt system [PDF]
Journal of Physics A: Mathematical and General, 1999 By using non-canonical transformation between the Holt system and the Henon-Heiles system the Lax pairs for all the integrable cases of the Holt system are constructed from the known Lax representations for the Henon-Heiles system.
openaire +2 more sources
Early Clinical, Imaging, and Pathological Characteristics of SRPK3/TTN‐Digenic Myopathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective SRPK3/TTN‐digenic myopathy was recently established as a skeletal muscle myopathy caused by digenic inheritance. This study characterizes the early clinical presentation of SRPK3/TTN‐digenic myopathy in one previously reported and seven newly identified pediatric patients.
Rotem Orbach +23 more
wiley +1 more source
Weak Lax pairs for lattice equations [PDF]
Nonlinearity, 2012 We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and Bäcklund transformations. We show that these concepts, which are associated with integrability, are not strictly equivalent. In the course of our analysis, we introduce a number of black and white lattice models, as well as variants
Jarmo Hietarinta, Claude Viallet
openaire +3 more sources