Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 74Citation - Scopus: 79Shapes and Dynamics of Dual-Mode Hirota-Satsuma Coupled Kdv Equations: Exact Traveling Wave Solutions and Analysis(Elsevier, 2019) Jaradat, Imad; Baleanu, Dumitru; Alquran, MarwanIn this paper we communicated with three different ansatze methods including the tanh-expansion method, the rational sine-cosine method and the Kudryashov-expansion method to study solitary wave solutions for a new developed nonlinear equation. We presented new generalized Hirota-Satsuma coupled KdV system of second-order in time t involving phase-velocity, dispersion and nonlinearity parameters. The new system can be defined as a dual-mode model where each involved field-function possess a spreading of dual-waves instead of single-mode wave. Graphical illustrations on the effect of both phase-velocity and dispersion-nonlinearity factors on the spacing of the obtained dual-waves are provided.Article Citation - WoS: 24Citation - Scopus: 31New Dual-Mode Kadomtsev-Petviashvili Model With Strong-Weak Surface Tension: Analysis and Application(Pushpa Publishing House, 2018) Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru; Abu Irwaq, IssamDual-mode (2 + 1)-dimensional Kadomtsev-Petviashvili (DMKP) equation is a new model which represents the spread of two simultaneously directional waves due to the involved term " utt (x, y, t)" in its equation. We present the construction of DMKP and search for possible solutions. The innovative tanh-expansion method and Kudryashov technique will be utilized to find the necessary constraint conditions which guarantee the existence of soliton solutions to DMKP. Supportive 3D plots will be provided to validate our findings.