HIGHER ORDER KORTEWEG-DE VRIES MODELS FOR INTERNAL WAVES | Zendy

J. Jaharuddin | Zendy

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HIGHER ORDER KORTEWEG-DE VRIES MODELS FOR INTERNAL WAVES

Author(s) -

J. Jaharuddin

Publication year - 2003

Publication title -

milang journal of mathematics and its applications

Language(s) - English

Resource type - Journals

ISSN - 2963-5233

DOI - 10.29244/jmap.2.2.15-22

Subject(s) - korteweg–de vries equation , internal wave , mathematics , mathematical analysis , mathematical physics , modal , function (biology) , physics , nonlinear system , mechanics , chemistry , quantum mechanics , evolutionary biology , biology , polymer chemistry

By using asymptotic methods, evolution equation is derived for the internal waves in density stratified fluid. This evolution equation arise as a solvability condition. A higher-order extension of the familiar Korteweg-de Vries equation is produced for internal waves in a density stratified flow with a free surface. All coefficients of this extended Korteweg-de Vries equation are expressed via integrals of the modal function for the linear theory of long internal waves.

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