2022
DOI: 10.1016/j.joes.2022.02.011
|View full text |Cite
|
Sign up to set email alerts
|

Computational techniques to study the dynamics of generalized unstable nonlinear Schrödinger equation

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
10
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
10

Relationship

1
9

Authors

Journals

citations
Cited by 67 publications
(10 citation statements)
references
References 44 publications
0
10
0
Order By: Relevance
“…expansion method [11,12], the Bernoulli subequation function method [13], the generalized exponential rational function method [14-16], the ¢ -( ) G 1 expansion method [17, 18], Hirota's simple method [19][20][21], and other methods [22][23][24][25][26][27] have been used to obtain solutions for these NPDEs. Additionally, the Jacobi elliptic function expansion method (JEFEM) has been applied to several NPDEs, including the Biswas-Arshed equation in [28], various nonlinear wave equations such as KdV, mKdV equations, Boussinesq model and nonlinear klein-gordon equation [29], the fourth-order NPDE and the Kaup-Newell equation in [30], and other related studies [31][32][33][34][35][36][37][38].Similarly, the new modification of the Sardar sub-equation method (MSSEM) has also been applied to several NPDEs such as the generalized unstable nonlinear Schrodinger equation in [39], the perturbed Fokas-Lenells equation in [40], the Korteweg-de Vries equation in [41], the Benjamin-Bona-Mahony equation and the Klein-Gordon equations in [42], the Klein-Fock-Gordon equation in [43], the Boussinesq equation in [44], the perturbed Gerdjikov-Ivanov equation in [45], and other related studies [46][47][48][49][50][51][52].…”
Section: Introductionmentioning
confidence: 99%
“…expansion method [11,12], the Bernoulli subequation function method [13], the generalized exponential rational function method [14-16], the ¢ -( ) G 1 expansion method [17, 18], Hirota's simple method [19][20][21], and other methods [22][23][24][25][26][27] have been used to obtain solutions for these NPDEs. Additionally, the Jacobi elliptic function expansion method (JEFEM) has been applied to several NPDEs, including the Biswas-Arshed equation in [28], various nonlinear wave equations such as KdV, mKdV equations, Boussinesq model and nonlinear klein-gordon equation [29], the fourth-order NPDE and the Kaup-Newell equation in [30], and other related studies [31][32][33][34][35][36][37][38].Similarly, the new modification of the Sardar sub-equation method (MSSEM) has also been applied to several NPDEs such as the generalized unstable nonlinear Schrodinger equation in [39], the perturbed Fokas-Lenells equation in [40], the Korteweg-de Vries equation in [41], the Benjamin-Bona-Mahony equation and the Klein-Gordon equations in [42], the Klein-Fock-Gordon equation in [43], the Boussinesq equation in [44], the perturbed Gerdjikov-Ivanov equation in [45], and other related studies [46][47][48][49][50][51][52].…”
Section: Introductionmentioning
confidence: 99%
“…The contour lines are typically drawn with a different color or shade to differentiate them from one another and each contour line represents a certain function value. equation (36), represents the bright soliton which is depicted in figure 1. Equation (37), represents the singular soliton which is depicted in figure 2.…”
Section: Physical Interpretationmentioning
confidence: 99%
“…In order to prove the essence and significance of mathematical modelling in connection with realworld problems, the authors in [6][7][8] investigated the omicron and its earlier version and presented some useful results. The current study can be extended by generalizing the integer order derivative with fractional order; for instance, the stability of the integro-differential systems within the frame of fractional order is connected by researchers in [9], the hyper-chaotic system is examined with the help of novel fractional operator in [10], the physical model with unstable cases is investigated in [11], the numerical method for higher order fractional system is proposed by researchers in [12], the chemical reaction model is investigated with the efficient numerical scheme in [13], the scholars in [14][15][16] where the competing website can coexist. Brander and de Bettignies [23] use the predator-prey model to provide a contributing explanation for both high-venture capital concentration by industry and 'boom and bust' industry-level investment dynamics.…”
Section: Introductionmentioning
confidence: 99%