Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics - MaRDI portal

Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics (Q2156333)

From MaRDI portal

Jump to:navigation, search

scientific article

Language	Label	Description	Also known as
English	Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics	scientific article

Statements

scholarly article

0 references

Bilinear auto-Bäcklund transformations and similarity reductions for a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system in fluid mechanics and lattice dynamics (English)

0 references

0 references

0 references

0 references

Qualitative Theory of Dynamical Systems

0 references

publication date

18 July 2022

0 references

zbMATH Keywords

two-layer liquid

0 references

lattice

0 references

\((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

0 references

bilinear auto-Bäcklund transformations

0 references

similarity reductions

0 references

symbolic computation

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1007/s12346-022-00622-w

0 references

Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure

0 references

Head-on collision between two hydroelastic solitary waves in shallow water

0 references

Long-time behavior of non-autonomous FitzHugh-Nagumo lattice systems

0 references

Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics

0 references

Dynamics of second order lattice systems with almost periodic nonlinear part

0 references

Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid

0 references

0 references

0 references

Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

0 references

Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method

0 references

The Calogero-Bogoyavlenskii-Schiff equation in \(2+1\) dimensions

0 references

Solitons and bilinear Bäcklund transformations for a \((3 + 1)\)-dimensional Yu-Toda-Sasa-Fukuyama equation in a liquid or lattice

0 references

Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

0 references

Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics

0 references

Parabola solitons for the nonautonomous KP equation in fluids and plasmas

0 references

Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

0 references

Unconventional characteristic line for the nonautonomous KP equation

0 references

Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique

0 references

Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions

0 references

Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics

0 references

Vector bright soliton interactions of the two-component AB system in a baroclinic fluid

0 references

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre

0 references

Lax pair, improved \(\varGamma\)-Riccati Bäcklund transformation and soliton-like solutions to variable-coefficient higher-order nonlinear Schrödinger equation in optical fibers

0 references

Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation

0 references

Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

0 references

Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix

0 references

Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

0 references

Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber

0 references

Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system

0 references

Symbolic computation on a \((2+1)\)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system for the water waves

0 references

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

0 references

Alfvén solitons and generalized Darboux transformation for a variable-coefficient derivative nonlinear Schrödinger equation in an inhomogeneous plasma

0 references

Lie group analysis for a higher-order Boussinesq-Burgers system

0 references

Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves

0 references

New similarity reductions of the Boussinesq equation

0 references

Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system

0 references

0 references

Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics

0 references

Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system

0 references

Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system''

0 references

0 references

Application of Hirota operators for controlling soliton interactions for Bose-Einstein condensate and quintic derivative nonlinear Schrödinger equation

0 references

Poisson brackets and truncations in nonlinear reduced fluid models for plasmas

0 references

Identifiers

zbMATH Open document ID

0 references

10.1007/s12346-022-00622-w

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

zbMATH DE Number

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2156333

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q2156333&oldid=36830633"