On rational similarity solutions of KdV and m-KdV equations

DOI10.3792/pjaa.59.407zbMath0552.35066OpenAlexW2034607873MaRDI QIDQ801485

Yoshinori Kametaka

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.407

zbMATH Keywords

KdV equationsecond Painlevé equationrecurrence relationsLaurent expansionseries solutionsbound for the coefficientsrational similarity solutionsYablonskij-Vorobiev polynomials

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Rational solutions to the mKdV equation associated to particular polynomials ⋮ On the irreducibility conjecture based on computer calculation for Yablonskii-Vorobiev polynomials which give a rational solution of the Toda equation of Painlevé-II type ⋮ The mKdV equation and multi-parameters rational solutions

Cites Work

• Unnamed Item
• On poles of the rational solution of the Toda equation of Painlevé - II type
• Solitons and rational solutions of nonlinear evolution equations