Results 91 to 100 of about 6,339 (163)

Utmost travelling wave phenomena to the fractional type nonlinear evolution equation in mathematical physics

Partial Differential Equations in Applied Mathematics
In applied physics and engineering, non-linear fractional types of partial differential equations become increasingly prominent as an estimation technique to explain a wide variety of non-linear phenomena.
U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

Two integrable extensions of the Kadomtsev-Petviashvili equation

Open Physics, 2011
Wazwaz Abdul-Majid
doaj   +1 more source

Exploring new closed-form solitary waves of a nonlinear ionic transport model arising in microtubular mass flow and their global dynamical analysis

Ain Shams Engineering Journal
This work presents a comprehensive analytical and dynamical exploration of a nonlinear ionic currents microtubule model, which governs the propagation of ionic waves and electrical impulses along the cytoskeletal microtubule network.
Mati ur Rahman, Sonia Akram, Dumitru Baleanu   +2 more
doaj   +1 more source

On the study of solitary wave dynamics and interaction phenomena in the ultrasound imaging modelled by the fractional nonlinear system

Scientific Reports
This research work focuses on investigating the propagation of ultrasonic waves, which propagate mechanical vibrations of molecules or particles inside materials. Ultrasound imaging is extensively used and deeply rooted in the medical field.
Usman Younas, Jan Muhammad, Qasim Ali, Mirwais Sediqmal, Krzysztof Kedzia, Ahmed Z. Jan   +5 more
doaj   +1 more source

Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]

Sci Rep
Rateb AE, Ahmed HM, Darwish A, Ammar M, Rabie WB.   +4 more
europepmc   +1 more source

Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]

Sci Rep
Elsonbaty NM, Ahmed HM, Badra NM, Rabie WB.   +3 more
europepmc   +1 more source

Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]

Sci Rep
Hussain A, Khalel NJ, Oğul B, Al-Sinan BR, Thaqfan AA, Aly ES, Ibrahim TF.   +6 more
europepmc   +1 more source

Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]

Sci Rep
Alam MN, Ahmed SF, Ismael HF, Firdi MD, Badruddin IA, Javed S.   +5 more
europepmc   +1 more source

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]

Sci Rep
Hussein HH, Alexan W, Kandil SA.
europepmc   +1 more source

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 more
europepmc   +1 more source