Analytical solutions to ultra-long waves with the complete Coriolis force and heating | Zendy

Jie Yang | Zendy; Qiang Zhao | Zendy

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Analytical solutions to ultra-long waves with the complete Coriolis force and heating

Author(s) -

Jie Yang,

Qiang Zhao

Publication year - 2010

Publication title -

acta physica sinica

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.

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