Cover Image

Reduction of the Laplace sequence and sine-Gordon type equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Faizulina, K I, Khakimova, A R
Format:	Preprint
Published:	2024
Subjects:	Exactly Solvable and Integrable Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Symmetries of Toda type 3D lattices
by: Habibullin, I. T., et al.
Published: (2024)

On the construction of solutions of the Davey--Stewartson I equation using an open Toda chain
by: Habibullin, I. T., et al.
Published: (2025)

Discrete integrable equations with three independent variables
by: Habibullin, Ismagil T., et al.
Published: (2026)

Higher symmetries of the lattices in 3D
by: Habibullin, I. T., et al.
Published: (2024)

Construction of exact solutions of nonlinear PDE via dressing chain in 3D
by: Habibullin, I. T., et al.
Published: (2024)

Integrable semi-discretizations of the sine-Gordon equation in non-characteristic coordinates
by: Tsuchida, Takayuki
Published: (2025)

The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
by: Cui, Mengyuan, et al.
Published: (2024)

(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)

Heun-function analysis of the Dirac spinor spectrum in a sine-Gordon soliton background
by: Blas, H., et al.
Published: (2026)

Two sequences of fully-nonlinear evolution equations and their symmetry properties
by: Euler, Marianna, et al.
Published: (2025)

Nonlinearization of the KdV-type and mKdV-type bilinear equations
by: Zhang, Xin, et al.
Published: (2025)

On integrable reductions of two-dimensional Toda-type lattices
by: Habibullin, I. T., et al.
Published: (2024)

Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
by: Zhao, Song-lin, et al.
Published: (2024)

Two types of elliptic dark soliton solutions for the Hirota equation
by: Huang, Qiaofeng, et al.
Published: (2025)

Integrable Zhaidary equations: reductions and gauge equivalence
by: Sagidullayeva, Zh., et al.
Published: (2022)

Lax representations for the magnetohydrodynamics equations
by: Morozov, Oleg I.
Published: (2023)

Integrability structures of the $(2+1)$-dimensional Euler equation
by: Krasil'shchik, I. S., et al.
Published: (2025)

On the Dbar method and direct linearization approach of the lattice KdV type equations
by: Shi, Leilei, et al.
Published: (2025)

Lax representations for the three-dimensional Euler--Helmholtz equation
by: Morozov, Oleg I.
Published: (2024)

Extensions of the symmetry algebra and Lax representations for the two-dimensional Euler equation
by: Morozov, Oleg I.
Published: (2023)

An infinite family of homogeneous discrete equations with the Laurent property
by: Svinin, Andrei K.
Published: (2026)

On an equation arising by reduction of the Drinfeld-Sokolov hierarchy
by: Conte, R.
Published: (2024)

Sundman-like transformations and the NRT nonlinear Schrödinger equation
by: Gordoa, P. R., et al.
Published: (2025)

On the relation between the dual AKP equation and an equation by King and Schief, and its N-soliton solution
by: van der Kamp, Peter H., et al.
Published: (2019)

Accelerating solutions of the Korteweg-de Vries equation
by: Winkler, Maricarmen A., et al.
Published: (2024)

Integrable Kuralay equations: geometry, solutions and generalizations
by: Sagidullayeva, Z., et al.
Published: (2022)

Integrability, geometry and wave solutions of some Kairat equations
by: Myrzakulova, Zh., et al.
Published: (2023)

Reduction properties of the KP-mKP hierarchy
by: Geng, Lumin, et al.
Published: (2025)

Recursion operator for stationary Nizhnik--Veselov--Novikov equation
by: Marvan, M., et al.
Published: (2002)

Differential invariants of generic hyperbolic Monge--Ampère equations
by: Marvan, Michal, et al.
Published: (2006)

Fokas-Lenells equation dark soliton and gauge equivalent spin equation
by: Dutta, Riki, et al.
Published: (2023)

Recursion operator for the IGSG equation
by: Marvan, M., et al.
Published: (2006)

Integrability conditions for Boussinesq type systems
by: Heredero, Rafael Hernandez, et al.
Published: (2024)

Contact germs and partial differential equations
by: Kaptsov, O. V.
Published: (2024)

Integrable equations with negative evolution numbers
by: Pogrebkov, Andrei
Published: (2026)

On the symmetry classification of integrable chains in 3D. Darboux-integrable reductions and their higher symmetries
by: Garifullin, R. N., et al.
Published: (2025)

Construction of the Lax pairs for the delay Lotka-Volterra and delay Toda lattice equations and their reductions to delay Painleve equations
by: Matsuoka, Hiroshi, et al.
Published: (2024)

Anomalous charge transport in the sine-Gordon model
by: Møller, Frederik, et al.
Published: (2024)

Rogue curves in the Davey-Stewartson I equation
by: Yang, Bo, et al.
Published: (2024)

On a two-component Camassa-Holm equation
by: Zhang, Zixing, et al.
Published: (2024)