DOI10.1137/0149071zbMath0694.35005OpenAlexW2019482552MaRDI QIDQ3469438
Mark J. Ablowitz, Peter A. Clarkson, Athanassios S. Fokas
Publication date: 1989
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0149071
Comment on ``Painlevé integrability of two sets of nonlinear evolution equations with nonlinear dispersions, Applications of Integrable Nonlinear Diffusion Equations in Industrial Modelling, The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, The integrable nonlinear degenerate diffusion equation \(u_ t=[f(u)u_ x^{-1}_ x\) and its relatives], Symmetries of a class of nonlinear third-order partial differential equations, The WTC and ARS Painlevé tests, New similarity reductions of the Boussinesq equation, Geodesic flow on (super-) Bott–Virasoro group and Harry Dym family, The Darboux transformation for the Wadati-Konno-Ichikawa system, Complex variable methods in Hele–Shaw moving boundary problems, Symmetry analysis and hidden variational structure of Westervelt's equation in nonlinear acoustics, Liouville correspondences between multicomponent integrable hierarchies, On RF-pairs, Bäcklund transformations and linearization of nonlinear equations, Hodograph-type transformations, Soliton structure versus singularity analysis: Third-order completely integrable nonlinear differential equations in \(1+1\)-dimensions, Reciprocal transformations, Painlevé property and solutions of energy-dependent Schrödinger hierarchies., Hodograph-Type Transformations for Linearization of Systems of Nonlinear Diffusion Equations, Method for solving hyperbolic systems with initial data on non-characteristic manifolds with applications to the shallow water wave equations, ON A NOVEL CLASS OF INTEGRABLE ODEs RELATED TO THE PAINLEVÉ EQUATIONS, A Tree of Linearisable Second-Order Evolution Equations by Generalised Hodograph Transformations, Hodograph Transformations and Cauchy Problem to Systems of Nonlinear Parabolic Equations, Auto-hodograph transformations for a hierarchy of nonlinear evolution equations, Nonlocal symmetries and formulae for generation of solutions for a class of diffusion-convection equations, On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions, Stationary solutions of the curvature preserving flow on space curves, Painlevé Tests, Singularity Structure and Integrability, Shock waves and compactons for fifth-order non-linear dispersion equations, ON SOME CLASSES OF LINEARIZABLE REACTION-CONVECTION-DIFFUSION EQUATIONS, New explicit solutions of quasilinear heat equations with general first-order sign-invariants, Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source, Nonlocal transformations with additional variables. Forced symmetries, Isospectral deformations for Sturm-Liouville and Dirac-type operators and associated nonlinear evolution equations, Integrable hierarchies related to the Kuper-CH spectral problem
