Cover Image

Construction of exact solutions of nonlinear PDE via dressing chain in 3D

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Habibullin, I. T., 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

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

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

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

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

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

Reduction of the Laplace sequence and sine-Gordon type equations
by: Faizulina, K I, et al.
Published: (2024)

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

The complex Toda chains and the simple Lie algebras - solutions and large time asymptotics -- II
by: Gerdjikov, V. S., et al.
Published: (1999)

The solutions of classical and nonlocal nonlinear Schrödinger equations with nonzero backgrounds: Bilinearisation and reduction approach
by: Zhang, Da-jun, et al.
Published: (2022)

Complete Weierstrass elliptic function solutions and canonical coordinates for four-wave mixing in nonlinear optical fibres
by: Hesketh, Graham
Published: (2026)

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

First integrals for the Volterra chain
by: Belskiy, D. V.
Published: (2026)

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)

On a class of exact solutions of the Ishimori equation
by: Garifullin, Rustem N., et al.
Published: (2024)

A simple approach to identify systems of nonlinear recursions featuring solutions whose evolution is explicitly ascertainable and which may be asymptotically isochronous as functions of the independent variable (a ticking time)
by: Calogero, Francesco
Published: (2024)

The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties
by: Cherniha, Roman, et al.
Published: (2024)

Integrable boundary conditions for the nonlinear Schrödinger hierarchy
by: Xia, Baoqiang
Published: (2025)

R-matrix for the XX spin chain in a staggered magnetic field
by: Bibikov, P. N.
Published: (2024)

Constructions of Totally Non-Negative Pfaffian
by: Chang, Jen-Hsu
Published: (2026)

The (3+1)-dimensional dispersionless integrable hierarchy and nonlinear Riemann-Hilbert problem associated with the Doubrov-Ferapontov modified heavenly equation
by: Yi, Ge, et al.
Published: (2025)

Two-fold degeneracy of a class of rational Painlevé V solutions
by: Aratyn, H., et al.
Published: (2023)

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

Solvable nonlinear systems of 2 recursions displaying interesting evolutions
by: Calogero, Francesco
Published: (2024)

Action-angle variables for the nonlinear Schrödinger equation on the half-line
by: Xia, Baoqiang
Published: (2024)

On certain solvable systems of 4 nonlinear Ordinary Differential Equations
by: Calogero, Francesco
Published: (2025)

Two sequences of fully-nonlinear evolution equations and their symmetry properties
by: Euler, Marianna, 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)

Nonlocal massive Thirring model and its solutions
by: Wang, Cong-han, et al.
Published: (2025)

On one typical Einstein-Weyl equation: inverse spectral transform for theCauchy problem, longtime behaviour of the solutions and implicit solutions
by: Yi, Ge, et al.
Published: (2025)

Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
by: Euler, Marianna, et al.
Published: (2024)

Simple systems of nonlinear recursions whose evolution is rather easily ascertained
by: Calogero, Francesco
Published: (2025)

Quasideterminant Darboux solutions of Noncommutative Equations of Langmuir Oscillations
by: Mahmood, Irfan, et al.
Published: (2021)

From fully-nonlinear to semilinear evolution equations: two symmetry-integrable examples
by: Euler, Marianna, et al.
Published: (2025)

Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation
by: Deng, Zixuan, et al.
Published: (2026)

Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
by: Demskoi, Dmitry K.
Published: (2024)

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

Long-time asymptotics of the coupled nonlinear Schödinger equation in a weighted Sobolev space
by: Huang, Yubin, et al.
Published: (2025)