Painlevé analysis, auto-Bäcklund transformations and exact solutions for a simplified model for reacting mixtures

DOI10.1016/S0378-4371(03)00361-3zbMath1029.80004MaRDI QIDQ1397330

Zhenya Yan

Publication date: 27 July 2003

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

nonlinear modelsolitonslinear partial differential equations

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Soliton equations (35Q51) Reaction effects in flows (76V05) Chemical kinetics in thermodynamics and heat transfer (80A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

AUTO-BÄCKLUND TRANSFORMATION AND NEW EXACT SOLUTIONS OF THE (2 + 1)-DIMENSIONAL NIZHNIK–NOVIKOV–VESELOV EQUATION ⋮ New generalized hyperbolic functions and auto-Bäcklund transformation to find new exact solutions of the \((2+1)\)-dimensional NNV equation ⋮ Non-travelling wave solutions to a \((3+1)\)-dimensional potential-YTSF equation and a simplified model for reacting mixtures ⋮ Existence of exotic waves for the nonlinear dispersive mKdV equation ⋮ New Miura type transformations between integrable dispersive wave equations ⋮ Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity ⋮ Stability of negative solitary waves for an integrable modified Camassa–Holm equation

Cites Work

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