Zobrazeno 1 - 10
of 6 800
pro vyhledávání: '"The soliton solutions"'
Publikováno v:
Nonlinear Waves & Hamiltonian Systems : From One To Many Degrees of Freedom, From Discrete To Continuum, 2024, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780192843234.003.0011
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33386-33400 (2024)
Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto model, are useful for studying wave turbulence in fluids, where energy transfers across a range of wave numbers. This phenomenon is observed in oceanographic
Externí odkaz:
https://doaj.org/article/3a05d3344330444da0b7ec3e871b89c5
Autor:
Hossain Md Nur, Rasid Md Mamunur, Abouelfarag I., El-Rashidy K., Miah M. Mamun, Kanan Mohammad
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 1569-74 (2024)
Soliton solutions play a crucial role in modeling stable phenomena across optical communications, fluid dynamics, and plasma physics, owing to their stability and persistence in solving nonlinear equations. This study centers on the extended Sakovich
Externí odkaz:
https://doaj.org/article/8d78d9c7861d49c3beab7146cb04c87e
Applications of soliton solutions of the two-dimensional nonlinear complex coupled Maccari equations
Autor:
Mohammad Alqudah, Manoj Singh
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31636-31657 (2024)
This study investigates the two-dimensional nonlinear complex coupled Maccari equations, which are significant in describing solitary waves concentrated in small spatial regions. These equations have applications across various fields, including hydr
Externí odkaz:
https://doaj.org/article/b6f7d062846643b397ec12852f6aa88b
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we show the interaction phenomena about the first-order lump wave and multiple solitons by four theorems. The interaction phenomena are divided into two types, one type is absorbing collision phenomenon and the other type is e
Externí odkaz:
https://doaj.org/article/1975a46362a94ea699f50ce966ecb40d
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-22 (2024)
Abstract In this work, numerous rogue wave solution strategy (MRWSS) agreeing to the Hirota bilinear hypothesis is utilized. The said strategy to build different soliton wave solutions for the generalized Hirota-Satsuma-Ito (GHSI) condition is consid
Externí odkaz:
https://doaj.org/article/a0ff8758e49340eba0a45ef5a9ca499c
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-23 (2024)
Abstract In this study, we examine the third-order fractional nonlinear Schrödinger equation (FNLSE) in $$(1+1)$$ -dimensional, by employing the analytical methodology of the new extended direct algebraic method (NEDAM) alongside optical soliton sol
Externí odkaz:
https://doaj.org/article/7afec6bd087343b899f9f4fc2800da68
Autor:
Nauman Raza, Saima Arshed, Mustafa Bayram, Kottakkaran Sooppy Nisar, Wedad Albalawi, Mona Mahmoud, Hegagi M. Ali
Publikováno v:
Alexandria Engineering Journal, Vol 114, Iss , Pp 179-197 (2025)
This study investigates highly stochastic solitary waves inside the structure of nonlinear Schrödinger equation of eighth-order, characterized by heightened polynomial nonlinearity and influenced by multiplicative white noise modeled in the Itô sen
Externí odkaz:
https://doaj.org/article/04fabeaf0b964e74a1c312a527f58868
Publikováno v:
Alexandria Engineering Journal, Vol 111, Iss , Pp 601-609 (2025)
We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2). By employing thos
Externí odkaz:
https://doaj.org/article/80c130229d444a34a76171aa3772a2f1
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow, 2024, Vol. 34, Issue 10, pp. 3715-3730.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/HFF-05-2024-0411