Results 1 to 10 of about 15 (12)

New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation

Nonlinear Engineering, 2021
In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to
Inc Mustafa, Az-Zo’bi E. A., Jhangeer Adil, Rezazadeh Hadi, Nasir Ali Muhammad, Kaabar Mohammed K. A.   +5 more
doaj   +1 more source

On different kinds of solutions to simplified modified form of a Camassa-Holm equation

Journal of Applied Mathematics and Computational Mechanics, 2019
In this research, our purpose is to investigate some types of solutions to a simplified modified form of the Camassa-Holm equation. The Jacobi elliptic function expansion method is applied to this equation.
Hami Gündoǧdu, Ö. F. Gözükizil
semanticscholar   +1 more source

Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation

Alexandria Engineering Journal, 2021
The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer, Hadi Rezazadeh, Reza Abazari, Kenan Yildirim, Sumaira Sharif, Farheen Ibraheem   +5 more
doaj  

Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis

Journal of Ocean Engineering and Science, 2022
This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj  

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj  

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

Journal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar, Ihsanullah Hamid, M.A. Abdou   +2 more
doaj  

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar, Monika Niwas, Shubham Kumar Dhiman   +2 more
doaj  

Reconstruction of motor control circuits in adult Drosophila using automated transmission electron microscopy. [PDF]

Cell, 2021
Phelps JS, Hildebrand DGC, Graham BJ, Kuan AT, Thomas LA, Nguyen TM, Buhmann J, Azevedo AW, Sustar A, Agrawal S, Liu M, Shanny BL, Funke J, Tuthill JC, Lee WA.   +14 more
europepmc   +1 more source

A size principle for recruitment of Drosophila leg motor neurons. [PDF]

Elife, 2020
Azevedo AW, Dickinson ES, Gurung P, Venkatasubramanian L, Mann RS, Tuthill JC.   +5 more
europepmc   +1 more source

An ansatz for solving nonlinear partial differential equations in mathematical physics. [PDF]

Springerplus, 2016
Akbar MA, Ali NH.
europepmc   +1 more source