Results 21 to 30 of about 613,197 (287)

A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model

Advances in Difference Equations, 2020
A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
doaj   +1 more source

The anisotropic λ-deformed SU(2) model is integrable

Physics Letters B, 2015
The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model.
Konstantinos Sfetsos, Konstantinos Siampos   +1 more
doaj   +1 more source

Non-relativistic string monodromies

Journal of High Energy Physics, 2023
Spectral curve methods proved to be powerful techniques in the context of relativistic integrable string theories, since they allow us to derive the semiclassical spectrum from the minimal knowledge of a Lax pair and a classical string solution.
Andrea Fontanella, Juan Miguel Nieto García, Olof Ohlsson Sax   +2 more
doaj   +1 more source

Kajian Tentang Lax Pair dan Penerapannya Pada Persamaan Liouville [PDF]

, 2016
Lax pair merupakan pasangan dua operator diferensial yang jika disubstitusikan ke suatu persamaan (dinamakan persamaan Lax) akan menghasilkan suatu persamaan diferensial parsial tertentu.
Andreno, Juanda
core   +1 more source

NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES

Вестник Северо-Кавказского федерального университета, 2022
The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering ...
Valentina M. Karslieva
doaj  

Lax integrability and soliton solutions of the (2 + 1)- dimensional Kadomtsev– Petviashvili– Sawada–Kotera– Ramani equation

Frontiers in Physics, 2022
In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj   +1 more source

Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations

Mathematics, 2023
In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the connections with the differential equations and regular curves were considered in various ways in the ...
Nikola Popović, Kemal Eren, Ana Savić, Soley Ersoy   +3 more
doaj   +1 more source

Quantum Painlev\'e II Lax Pair and Quantum (Matrix) Analogues of Classical Painlev\'e II equation [PDF]

, 2023
In this article, we present a new quantum Painlev\'e II Lax pair which explicitly involves the Planck constant $ \hbar $ and an arbitrary field variable $v$ so these two objects make this new pair different from Flaschka-Newell Painlev\'e II Lax pair and
Sohail, Hira, Mahmood, Irfan, Waseem, Muhammad   +2 more
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ANALISIS LAX PAIR DAN PENERAPANNYA PADA PERSAMAAN KORTEWEG-DE VRIES [PDF]

, 2016
Lax pair adalah pasangan dua operator diferensial yang jika disubstitusikan ke suatu persamaan (dinamakan persamaan Lax ) akan menghasilkan suatu persamaan diferensial parsial tertentu.
Ance, Satria
core   +1 more source

On integrability of 2-dimensional σ-models of Poisson-Lie type

Journal of High Energy Physics, 2017
We describe a simple procedure for constructing a Lax pair for suitable 2- dimensional σ-models appearing in Poisson-Lie T ...
Pavol Ševera
doaj   +1 more source