Results 101 to 110 of about 1,858,479 (279)

Initial-boundary value problem for an integrable spin-1 Gross-Pitaevskii system with a 4x4 Lax pair on a finite interval [PDF]

, 2017
Zhenya Yan
openalex   +1 more source

New Neumann System Associated with a 3 × 3 Matrix Spectral Problem

Advances in Mathematical Physics, 2014
The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense.
Fang Li, Liping Lu
doaj   +1 more source

Darboux transformations for the Lax pairs related to two dimensional affine Toda equations [PDF]

, 2017
Zhou Zixiang
openalex   +1 more source

Lax Pairs for Edge-constrained Boussinesq Systems of Partial Difference Equations [PDF]

, 2019
Terry J. Bridgman, Willy Hereman
openalex   +3 more sources

Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation [PDF]

, 2000
Song-Ju Yu, Kouichi Toda
openalex   +1 more source

Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

Abstract and Applied Analysis, 2014
We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects.
Rui Guo, Hui-Qin Hao, Xiao-Song Gu
doaj   +1 more source

Boundary Lax pairs for the An(1) Toda field theories [PDF]

, 2009
Jean Avan, Anastasia Doikou
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Extended Relativistic Toda Lattice, L-Orthogonal Polynomials and Associated Lax Pair [PDF]

, 2018
Cleonice F. Bracciali, Jairo Silva, A. Sri Ranga   +2 more
openalex   +1 more source

Applications of nonlinear integrable equations in artificial intelligence

Electronic Research Archive
This study begins with the nonlinear coupled Korteweg-de Vries equation and successfully solves its Lax pair using the prolongation structure method.
ZengAngMao Ren, Yangjie Jia
doaj   +1 more source

Multi-solitons in the model of an inhomogeneous optical fiber

AIMS Mathematics
This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients.
Jinfang Li, Chunjiang Wang, Li Zhang, Jian Zhang   +3 more
doaj   +1 more source