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
Multicomponent integrable wave equations: I. Darboux-dressing transformation - MaRDI portal

Multicomponent integrable wave equations: I. Darboux-dressing transformation

From MaRDI portal
Publication:3425252

DOI10.1088/1751-8113/40/5/007zbMath1111.35057arXivnlin/0610061OpenAlexW3101560702MaRDI QIDQ3425252

Sara Lombardo, Antonio Degasperis

Publication date: 7 March 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0610061




Related Items (36)

Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibreCharacteristics of rogue waves on a soliton background in the general three-component nonlinear Schrödinger equationBinary Darboux transformation for general matrix mKdV equations and reduced counterpartsDiscretizations of the generalized AKNS schemeMulti-dark soliton solutions for the higher-order nonlinear Schrödinger equation in optical fibersMatter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensatesHigher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equationModulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equationsIntegrability and linear stability of nonlinear wavesDark soliton solutions of the defocusing Hirota equation by the binary Darboux transformationThe 3-wave resonant interaction model: spectra and instabilities of plane wavesSemirational rogue waves of the three coupled higher-order nonlinear Schrödinger equationsHybrid structures of localized waves for the coupled extended mKdV equationVector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiberTime-like boundary conditions in the NLS modelNon-commutative NLS-type hierarchies: dressing \& solutionsVector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditionsDarboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu-Eckhaus equationsOn solutions of matrix soliton equationsDarboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equationDarboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equationsThree-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamicsSolitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pairBäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equationAsymmetrical, rotational and ultra-high amplitude fundamental polarized optical rogue waves associated with the coherent couplingVector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibersMulti-dark-dark solitons of the integrable repulsive AB system via the determinantsGeneral rogue wave solutions of the coupled Fokas–Lenells equations and non-recursive Darboux transformationDarboux-Bäcklund transformations, dressing \& impurities in multi-component NLSThe three-wave resonant interaction equations: Spectral and numerical methodsMulticomponent nonlinear Schrödinger equations with constant boundary conditionsContrast of optical activity and rogue wave propagation in chiral materialsIntegrability of nonlinear wave equations and solvability of their initial value problemRogue waves of wave resonant-interaction equations with the higher-order effectsAn algebraic approach to discrete time integrabilityGrassmannian flows and applications to non-commutative non-local and local integrable systems




This page was built for publication: Multicomponent integrable wave equations: I. Darboux-dressing transformation