Lax Pairs and Special Polynomials Associated with Self-similar Reductions of Sawada — Kotera and Kupershmidt Equations
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S1560354720010074.pdf
Reference49 articles.
1. Sawada, K. and Kotera, T., A Method for Finding N-soliton Solutions of the KdV Equation and the KdV-Like Equation, Prog. Theor. Phys., 1974, vol. 51, no. 5, pp. 1355–1367.
2. Caudrey, P. J., Dodd, R. K., and Gibbon, J. D., A New Hierarchy of Korteweg-de Vries Equations, Proc. Roy. Soc. London Ser. A, 1976, vol. 351, no. 1666, pp. 407–422.
3. Kupershmidt, B. A. and Wilson, G., Modifying Lax Equations and the Second Hamiltonian Structure, Invent. Math., 1981, vol. 62, no. 3, pp. 403–436.
4. Satsuma, J. and Kaup, D. J., A Bäcklund Transformations for a Higher Order Korteweg-de Vries Equation, J. Phys. Soc. Japan, 1977, vol. 43, no. 2, pp. 692–697.
5. Kaup, D. J., On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ, Stud. Appl. Math., 1980, vol. 62, no. 3, pp. 189–216.
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