On new transcendents defined by nonlinear ordinary differential equations

From MaRDI portal
Publication:3839332

DOI10.1088/0305-4470/31/6/002zbMath0906.34005OpenAlexW2036631799MaRDI QIDQ3839332

Nikolay A. Kudryashov

Publication date: 9 August 1998

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/6/002




Related Items

Lax pairs and special polynomials associated with self-similar reductions of Sawada -- Kotera and Kupershmidt equationsSoliton, rational and special solutions of the Korteweg-de Vries hierarchyPaul Painlevé and his contribution to scienceHigher Painlevé transcendents as special solutions of some nonlinear integrable hierarchiesHamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEsRational solutions of equations associated with the second Painlevé equationOn Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEsTraveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integralsNonlinear differential equations of the second, third and fourth order with exact solutionsA Lagrangian description of the higher-order Painlevé equationsTwo hierarchies of ordinary differential equations and their propertiesUnnamed ItemSome Fourth-Order Ordinary Differential Equations which Pass the Painlevé TestRational and special solutions for some Painlevé hierarchiesPower and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equationFuchs indices and the first integrals of nonlinear differential equationsLax pair and first integrals of the traveling wave reduction for the KdV hierarchyLax pairs for one of hierarchies similar to the first Painlevé hierarchyA note on solutions of the Korteweg-de Vries hierarchyDouble Bäcklund transformations and special integrals for the \(K_{II}\) hierarchyLax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchiesExistence of a global solution of the Whitham equationsDiscrete equations corresponding to fourth-order differential equations of the P2 and K2 hierarchies