Open AccessAnalytical solutions to ultra-long waves with the complete Coriolis force and heating
Author(s) -
Jie Yang,
Qiang Zhao
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.750
Subject(s) - korteweg–de vries equation , physics , nonlinear system , soliton , classical mechanics , series (stratigraphy) , longitudinal wave , taylor series , periodic wave , mechanical wave , mechanics , mathematical analysis , wave propagation , mathematics , quantum mechanics , geology , paleontology
Ultra-long waves in the modified Burger model are studied by using the method of travelling-wave solution. Taylor series expansion is used to isolate the characteristics of linear waves and identify the nonlinear waves. The analytical solutions to nonlinear ultra-long waves with the complete Coriolis force and heatingwhich can be approximately described by the KdV equation and the combined KdV and mKdV KdV-mKdV equationare obtained. The cnoidal wavessolitary wavesand soliton-like solutions are also obtained.