Conformal invariance and integrable models

DOI10.1088/0305-4470/30/13/028zbMath0924.35154OpenAlexW2041240350MaRDI QIDQ4248417

Sen-yue Lou

Publication date: 4 November 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/13/028

zbMATH Keywords

conformal invarianceconformal flow equationsinfinitely many non-local symmetries

Mathematics Subject Classification ID

Related Items (35)

Nonlocal symmetry and consistent Riccati expansion integrability of the (1+1)-dimensional integrable nonlinear dispersive-wave system ⋮ Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation ⋮ Soliton and Riemann theta function quasi-periodic wave solutions for a \((2+1)\)-dimensional generalized shallow water wave equation ⋮ The extension of the Jacobi elliptic function rational expansion method ⋮ Nonlocal symmetry, CRE solvability and soliton-cnoidal solutions of the \((2+1)\)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation ⋮ Residual Symmetry Reduction and Consistent Riccati Expansion of the Generalized Kaup-Kupershmidt Equation ⋮ What will happen when a dromion meets with a ghoston? ⋮ Interaction behavior between solitons and (\(2+1)\)-dimensional CDGKS waves ⋮ Lie symmetry analysis for a 2+1 extended Boiti-Leon-Manna-Pempinelli equation ⋮ Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional Gardner equation ⋮ Exact Solutions, Symmetry Reductions, Painlevé Test and Bäcklund Transformations of A Coupled KdV Equation ⋮ Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation ⋮ Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations ⋮ Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation ⋮ NEW SOLITARY WAVE AND JACOBI PERIODIC WAVE EXCITATIONS IN (2+1)-DIMENSIONAL BOITI–LEON–MANNA–PEMPINELLI SYSTEM ⋮ Nonlocal symmetries and explicit solutions of the Boussinesq equation ⋮ Soliton solutions of BLMP equation by Lie symmetry approach ⋮ Duality of positive and negative integrable hierarchies via relativistically invariant fields ⋮ The investigation into the Schwarz–Korteweg–de Vries equation and the Schwarz derivative in (2+1) dimensions ⋮ Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers' equation ⋮ Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system ⋮ Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation ⋮ Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy ⋮ Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique ⋮ Residual symmetry reduction and consistent Riccati expansion to a nonlinear evolution equation ⋮ Symmetries and exact solutions of the Sharma-Tass-Olver equation ⋮ Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Higher dimensional Painlevé integrable models from the Kadomtsev–Petviashvili equation ⋮ Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation ⋮ Nonlocal Symmetry and Explicit Solution of the Alice-Bob Modified Korteweg-de Vries Equation ⋮ Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation ⋮ Conformal invariant Painlevé expansions and higher-dimensional integrable models ⋮ Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis ⋮ Nonlocal symmetries and explicit solutions of the AKNS system ⋮ Localization of Nonlocal Symmetries and Symmetry Reductions of Burgers Equation

This page was built for publication: Conformal invariance and integrable models