Solitons and the Korteweg-de Vries equation: Integrable systems in 1834--1995

DOI10.1007/BF00994634zbMath0847.35120OpenAlexW4251399840MaRDI QIDQ1896396

R. K. Bullough, P. J. Caudrey

Publication date: 8 October 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00994634

zbMATH Keywords

conformal field theoryintegrable systemssolitonsKorteweg-de Vries equationinverse scattering2-dimensional quantum gravity

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) History of mathematics in the 20th century (01A60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) History of mathematics in the 19th century (01A55) History of fluid mechanics (76-03) History of partial differential equations (35-03)

Related Items

Some exact wave solutions of nonlinear partial differential equations by means of comparison with certain standard ordinary differential equations, Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources, Physical dynamics of quasi-particles in nonlinear wave equations, An engineer's guide to soliton phenomena: Application of the finite element method, A numerical study of the nonlinear Schrödinger equation, Hamiltonian approach to the soliton-soliton interaction and for a classical solitonic gas, The concept of a quasi-particle and the non-probabilistic interpretation of wave mechanics, On some linear integral equations generating solutions of nonlinear partial differential equations

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