ARTÍCULO
TITULO

ANALYTICAL SOLUTIONS OF NONLINEAR SCHRODINGER EQUATIONS USING MULTISTEP MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD

Che Haziqah Che Hussin    
Adem Kilicman    
Amirah Azmi    

Resumen

This paper aims to propose and implement the Multistep Modified Reduced Differential Transform Method (MMRDTM) to find solution of Nonlinear Schrodinger Equations (NLSEs). Through the proposed technique, we replaced the nonlinear term in the NLSEs by the corresponding Adomian polynomials prior to applying the multistep approach. Thus, we can obtain solutions for the NLSEs in an easier way with less complexity. In addition, the solutions can be approximated more accurately over a longer time frame. We considered several NLSEs and illustrate the features of these solutions in the form of graphs in order to show the power and accuracy of the MMRDTM.

 Artículos similares

       
 
Cristobal Aguilar-Gallardo and Ana Bonora-Centelles    
Cell and gene therapies represent promising new treatment options for many diseases, but also face challenges for clinical translation and delivery. Hospital-based GMP facilities enable rapid bench-to-bedside development and patient access but require si... ver más
Revista: Applied Sciences

 
Matija Milanic and Rok Hren    
The Adding-Doubling (AD) algorithm is a general analytical solution of the radiative transfer equation (RTE). AD offers a favorable balance between accuracy and computational efficiency, surpassing other RTE solutions, such as Monte Carlo (MC) simulation... ver más
Revista: Algorithms

 
Zahra Gharibreza, Mahmoud Ghazavi and M. Hesham El Naggar    
Unsaturated soil covers a significant part of the world, and studying the behavior of deep foundations in this medium is an important step in increasing accuracy and economic efficiency in geotechnical studies. This paper presents an analytical solution ... ver más
Revista: Water

 
Wadslin Frenelus, Hui Peng and Jingyu Zhang    
The stability of deep soft rock tunnels under seepage conditions is of particular concern. Aiming at thoroughly discussing seepage actions and their consequences on the support schemes of such structures, the host rocks of the Weilai Tunnel situated in t... ver más
Revista: Infrastructures

 
Andrea D?Ambrosio and Roberto Furfaro    
This paper demonstrates the utilization of Pontryagin Neural Networks (PoNNs) to acquire control strategies for achieving fuel-optimal trajectories. PoNNs, a subtype of Physics-Informed Neural Networks (PINNs), are tailored for solving optimal control pr... ver más
Revista: Aerospace