Temat: 02.30.Jr - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A fifth-order Korteweg-de Vries equation for shallow water with surface tension: Multiple soliton solutions
Autorzy:: Wazwaz, A.
Powiązania:: https://bibliotekanauki.pl/articles/1075550.pdf
Data publikacji:: 2016-09
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.70.Wz
02.30.Lk
02.30.Jr
Opis:: In this work we study a fifth-order Korteweg-de Vries equation for shallow water with surface tension derived by Dullin et al. The fifth-order Korteweg-de Vries equation, derived by using the nonlinear/non-local transformations introduced by Kodama, and the Camassa-Holm equation with linear dispersion, have very different behaviors despite being asymptotically equivalent. We use the simplified form of the Hirota direct method to derive multiple soliton solutions for this equation.
Źródło:: Acta Physica Polonica A; 2016, 130, 3; 679-682
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: New Exact Solutions for Boussinesq Type Equations by Using (G'/G, 1/G) and (1/G')-Expansion Methods
Autorzy:: Demiray, S.
Ünsal, Ö.
Bekir, A.
Powiązania:: https://bibliotekanauki.pl/articles/1198520.pdf
Data publikacji:: 2014-05
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.30.Jr
02.70.Wz
05.45.Yv
94.05.Fg
Opis:: In this paper, the (G'/G, 1/G) and (1/G')-expansion methods with the aid of Maple are used to obtain new exact traveling wave solutions of the Boussinesq equation and the system of variant Boussinesq equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering.
Źródło:: Acta Physica Polonica A; 2014, 125, 5; 1093-1098
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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