A (2-DIMENSIONAL GENERALIZATION OF THE AKNS SHALLOW-WATER WAVE-EQUATION(1))

Authors
GILSON CR NIMMO JJC WILLOX R
Citation
Cr. Gilson et al., A (2-DIMENSIONAL GENERALIZATION OF THE AKNS SHALLOW-WATER WAVE-EQUATION(1)), Physics letters. A, 180(4-5), 1993, pp. 337-345
Citations number
12
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
180
Issue
4-5
Year of publication
1993
Pages
337 - 345
Database
ISI
SICI code
0375-9601(1993)180:4-5<337:A(GOTA>2.0.ZU;2-L
Abstract
An integrable generalization to 2 + 1 dimensions of the shallow water wave equation of Ablowitz, Kaup, Newell and Segur [Stud. Appl. Math. 5 3 (1974) 249] is sought through the bilinear approach. This equation i s shown to belong to the KP hierarchy and a broad class of solutions i ncluding the N-soliton solution is obtained.