Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves

Autor:	Raghda A. M. Attia, Mostafa M. A. Khater, Haiyong Qin
Rok vydání:	2020
Předmět:	Article Subject Gravitational wave Mathematical analysis Function (mathematics) 01 natural sciences Interpretation (model theory) Ion 010101 applied mathematics Nonlinear system Waves and shallow water Integer 0103 physical sciences QA1-939 Kondratiev wave 0101 mathematics 010306 general physics Mathematics Analysis
Zdroj:	Journal of Function Spaces, Vol 2020 (2020)
ISSN:	2314-8888 2314-8896
DOI:	10.1155/2020/5362989
Popis:	In this paper, the fractional Broer–Kaup (BK) system is investigated by studying its novel computational wave solutions. These solutions are constructed by applying two recent analytical schemes (modified Khater method and sech–tanh function expansion method). The BK system simulates the bidirectional propagation of long waves in shallow water. Moreover, it is used to study the interaction between nonlinear and dispersive long gravity waves. A new fractional operator is used to convert the fractional form of the BK system to a nonlinear ordinary differential system with an integer order. Many novel traveling wave solutions are constructed that do not exist earlier. These solutions are considered the icon key in the inelastic interaction of slow ions and atoms, where they were able to explain the physical nature of the nuclear and electronic stopping processes. For more illustration, some attractive sketches are also depicted for the interpretation physically of the achieved solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::506bdfa0dedbde099c0b7049c6446f37 https://doi.org/10.1155/2020/5362989 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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