Results 101 to 110 of about 3,184 (198)

Construction of bilinear Bäcklund transformation and complexitons for a newer form of Boussinesq equation describing shallow water waves

Results in Physics
This research investigates the characteristics and attributes of a new (3+ 1)-dimensional Boussinesq equation that describes shallow water waves in higher dimensions.
Faisal Javed, Miguel Vivas-Cortez, Zil-E-Huma, Nauman Raza, M.S. Alqarni   +4 more
doaj   +1 more source

Solitonic wave solutions of a Hamiltonian nonlinear atom chain model through the Hirota bilinear transformation method

Open Physics
Abstract This study employs the Hirota bilinear transformation method to investigate solitary and soliton solutions resulting from different symmetry wave functions associated with nonlinear atom chain models. These models are complex dynamic systems that have an impact on a variety of scientific areas.
Ceesay Baboucarr, Baber Muhammad Z., Ahmed Nauman, Macías Siegfried, Macías-Díaz Jorge E., Medina-Guevara María G.   +5 more
openaire   +2 more sources

Exploration of lump, interactions and rogue wave solutions to the (2 + 1)-dimensional evolution equation with bifurcation, sensitivity and stability analysis

Ain Shams Engineering Journal
In this manuscript, for the intellectual curiosity, we analyze the (2+1)-dimensional evolution equation, namely the Kadomtsev-Petviashvili (KP) equation, which is a significant model in nonlinear physics, describing the dynamics of weakly nonlinear ...
Badr Saad T. Alkahtani
doaj   +1 more source

Soliton-like solutions for a nonlinear doubly dispersive equation in an elastic Murnaghan's rod via Hirota's bilinear method

Open Physics
The purpose of this work is to study the physical phenomena of the doubly dispersive model that controls chaotic wave movement in the elastic Murnaghan’s rod.
Ceesay Baboucarr, Macías Siegfried, Baber Muhammad Z., Ahmed Nauman, Román-Loera Alejandro, Macías-Díaz Jorge E.   +5 more
doaj   +1 more source

Analysis of Solitons within the framework of the fractional Zakharov-Kuznetsov equation utilizing Hirota bilinear method

8 pages, 3 ...
Dutta, Saugata, Chatterjee, Prasanta, Nasipuri, Snehalata   +2 more
openaire   +2 more sources

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source

Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach. [PDF]

Sci Rep
Kazmi SS, Riaz MB.
europepmc   +1 more source

Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method. [PDF]

Sci Rep
Shahen NHM, Al Amin M, Uddin MM, Foyjonnesa, Rahman MM.   +4 more
europepmc   +1 more source

A simplified symbolic computation method based on Hirota bilinear equations for constructing multiple-order rogue waves

Abstract The computation of higher-order rogue waves can be a time-consuming process.Hirota bilinear equations with controllable centers for all orders of rogue wave solutions can be solved by a simplified symbolic computation method.Only one-third of the computational effort needed by the original method is required by the simplified one, for ...
Lu Tang, Hang Zeng
openaire   +1 more source

Modulational instability and associated multiple dark solitons in relativistically degenerate electron-positron-ion plasmas. [PDF]

Sci Rep
Jahangir R, Masood W, Siddiq M, Batool N, Ullah S, Al-Ghamdi H, Tiofack CGL, El-Tantawy SA.   +7 more
europepmc   +1 more source