Results 61 to 70 of about 155 (137)

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

Application of Integrable Systems in Carbon Price Determination

Mathematics
This paper examines carbon emission allowances and pricing mechanisms in the context of climate change, utilizing nonlinear evolution equation theory.
Xiyan Yang, Wenxia Chen, Chaosheng Zhang
doaj   +1 more source

Electron acoustic counterpropagating multi-solitons and rogue waves collision in an unmagnetized plasma in the presence of critical density ratios

AIP Advances
In this paper, the nonlinear propagation of electrostatic collisional among multi-solitons around the critical values along with their corresponding phase shifts and collision between two rouge waves propagating toward each other is studied in an ...
M. G. Hafez, Shahrina Akter, R. Sakthivel   +2 more
doaj   +1 more source

Numerical evaluations of quasi-periodic wave solutions of the supersymmetric Boiti-Leon-Manna-Pempinelli equation

Nuclear Physics B
In this paper, the quasi-periodic wave solutions are systematically investigated for a supersymmetric, high-dimensional integrable model, namely the supersymmetric Boiti-Leon-Manna-Pempinelli (sBLMP) equation, which can describe quantum fluid ...
Qi Li, Zhonglong Zhao, Zhaohua Li
doaj   +1 more source

Fractional Wave Structures in a Higher-Order Nonlinear Schrödinger Equation with Cubic–Quintic Nonlinearity and β-Fractional Dispersion

Fractal and Fractional
This study employs the improved modified extended tanh method (IMETM) to derive exact analytical solutions of a higher-order nonlinear Schrödinger (HNLS) model, incorporating β-fractional derivatives in both time and space.
Mahmoud Soliman, Hamdy M. Ahmed, Niveen M. Badra, Islam Samir, Taha Radwan, Karim K. Ahmed   +5 more
doaj   +1 more source

Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation

Mathematics
In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form.
Tianwei Qiu, Zhen Wang, Xiangyu Yang, Guangmei Wei, Fangsen Cui   +4 more
doaj   +1 more source

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

Boundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation

Mathematical and Computational Applications
In this paper, using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations, thereby establishing ...
Willy Hereman, Ünal Göktaş
doaj   +1 more source

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

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