A Simple Derivation of The N-Soliton Solutions to the Korteweg-Devries Equation

SIAM Journal on Applied Mathematics

Volumn 58, Issue 3, 1998, Pages 904-911

  Varley, Eric ^a   Seymour, Brian R ^b  

^a Lehigh University   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Korteweg deVries; Solitons; WKB theory

Indexed keywords

ALGEBRA; FUNCTIONS; MATHEMATICAL TECHNIQUES; SOLITONS;

KORTEWEG-DEVRIES EQUATION;

DIFFERENTIAL EQUATIONS;

EID: 0032095624     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139996303270     Document Type: Article

References (5)

1. R. HIROTA, Exact solutions of the Korteweg-deVries equation for multiple solitons, Phys. Rev. Lett., 27 (1972), pp. 1192-1194.
2. P. D. LAX, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., XXI (1968), pp. 467-490.
3. R. M. MIURA, The Korteweg-deVries equation: A surveyesults, SIAM Rev., 18 (1976), pp. 412-459.
4. S. P. NOVIKOV, The periodic problem for the Korteweg-deVries equation, Funktsional. Anal, i Prilozhen., 8 (1974), pp. 54-66.
5. E. VARLEY AND B. R. SEYMOUR, A method of obtaining exact solutions to partial differential equations with variable coefficients, Studies in Appl. Math., 78 (1988), pp. 183-205.