Singularity structure analysis and Hirota's bilinearisation of the coupled integrable dispersionless equations

DOI10.1016/S0960-0779(96)00165-8zbMath0939.35166OpenAlexW2035660050MaRDI QIDQ1963210

K. Porsezian, T. Alagesan

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(96)00165-8

zbMATH Keywords

Painlevé propertysine-Gordon equationBäcklund transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems ⋮ A generalization of the coupled integrable dispersionless equations ⋮ A discrete generalized coupled dispersionless integrable system and its multisoliton solutions ⋮ Bilinearization and soliton solutions of a supersymmetric multicomponent coupled dispersionless integrable system ⋮ Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations ⋮ Exact coherent structures for coupled integrable dispersionless equations ⋮ Darboux transformation of a semi-discrete coupled dispersionless integrable system ⋮ A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions ⋮ Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method ⋮ Integrability properties of a supersymmetric coupled dispersionless integrable system ⋮ Integrability of a multicomponent coupled dispersionless integrable system ⋮ On the Discretization of the Coupled Integrable Dispersionless Equations ⋮ Bilinearization and soliton solutions of N=1 supersymmetric coupled dispersionless integrable system ⋮ NEW TYPES OF INTERACTIONS BASED ON VARIABLE SEPARATION SOLUTIONS VIA THE GENERAL PROJECTIVE RICCATI EQUATION METHOD ⋮ ON THE DRESSING METHOD FOR THE GENERALIZED COUPLED DISPERSIONLESS INTEGRABLE SYSTEM

Cites Work

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• A unified approach to Painlevé expansions
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• The sine-Gordon equations: Complete and partial integrability
• The Painlevé property for partial differential equations
• On classes of integrable systems and the Painlevé property
• Nonlinear Schrodinger equation, Painleve test, Backlund transformation and solutions
• Painleve analysis of the non-linear Schrodinger family of equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
• A Generalization of Coupled Integrable, Dispersionless System
• On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
• Painleve analysis and integrability of coupled non-linear Schrodinger equations

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