Optical soliton parameter dynamics by variational principle: quadratic-cubic and generalized quadratic-cubic laws (super-Gaussian and super-sech pulses)

被引:0
作者
Shohib, Reham M. A. [1 ]
Alngar, Mohamed E. M. [2 ]
Biswas, Anjan [3 ,4 ,5 ,6 ,7 ]
Yildirim, Yakup [8 ,9 ,10 ]
Moraru, Luminita [11 ,12 ]
Alshomrani, Ali Saleh [4 ]
机构
[1] New Cairo Acad, Higher Inst Foreign Trade & Management Sci, Basic Sci Dept, Cairo 379, Egypt
[2] Modern Univ Technol & Informat, Fac Comp & Artificial Intelligence, Basic Sci Dept, Cairo 11585, Egypt
[3] Grambling State Univ, Dept Math & Phys, Grambling, LA 71245 USA
[4] King Abdulaziz Univ, Ctr Modern Math Sci & Their Applicat CMMSA, Dept Math, Math Modeling & Appl Computat MMAC Res Grp, Jeddah 21589, Saudi Arabia
[5] Dunarea De Jos Univ Galati, Cross Border Fac Humanities Econ & Engn, Dept Appl Sci, 111 Domneasca St, Galati 800201, Romania
[6] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Medunsa, South Africa
[7] Natl Res Nucl Univ, Dept Appl Math, Moscow 115409, Russia
[8] Biruni Univ, Dept Comp Engn, TR-34010 Istanbul, Turkiye
[9] Near East Univ, Math Res Ctr, CY-99138 Nicosia, Cyprus
[10] Univ Kyrenia, Fac Arts & Sci, CY-99320 Kyrenia, Cyprus
[11] Dunarea De Jos Univ Galati, Fac Sci & Environm, Dept Chem Phys & Environm, 47 Domneasca St, Galati 800008, Romania
[12] Sefako Makgatho Hlth Sci Univ, Dept Phys, ZA-0204 Medunsa, South Africa
来源
JOURNAL OF OPTICS-INDIA | 2024年
关键词
Solitons; Variational principle; Perturbation; Euler-Lagrange; 060.4510; 060.2310; 190.4370; 190.3270; 060.5530; STATIONARY; EQUATION;
D O I
10.1007/s12596-024-01983-y
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This article obtains the parameter dynamics of super-Gaussian and super-sech pulses for the perturbed nonlinear Schr & ouml;dinger's equation with quadratic-cubic and generalized quadratic-cubic forms of self-phase modulation structures. The implemented variational principle successfully recovers this dynamical system.
引用
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页数:18
相关论文
共 34 条
[1]   Unveiling optical solitons and other solutions for fourth-order (2+1)-dimensional nonlinear Schrödinger equation by modified extended direct algebraic method [J].
Ahmed, Karim K. ;
Badra, Niveen M. ;
Ahmed, Hamdy M. ;
Rabie, Wafaa B. .
JOURNAL OF OPTICS-INDIA, 2024,
[2]   Exploration new solitons to generalized nonlinear Schrödinger equation with Kudryashov's dual form of generalized non-local nonlinearity using improved modified extended tanh-function method [J].
Ali, Mohammed H. ;
Ahmed, Hamdy M. ;
El-Owaidy, Hassan M. ;
El-Deeb, Ahmed A. ;
Samir, Islam .
JOURNAL OF OPTICS-INDIA, 2024, 53 (05) :4331-4342
[3]  
Ali SG, 2007, ACTA PHYS POL A, V111, P289
[4]  
Alngar M.E.M., Optical soliton parameter dynamics by variational principle: anti-cubic and generalized anti-cubic forms of self-phase modulation: super-Gaussian and super-sech pulses
[5]   OPTICAL SOLITON PARAMETER DYNAMICS BY VARIATIONAL PRINCIPLE: PARABOLIC AND DUAL-POWER LAWS (SUPER-GAUSSIAN AND SUPER-SECH PULSES) [J].
Alngar, Mohamed E. M. ;
Shohib, Reham. M. A. ;
Arnous, Ahmed H. ;
Biswas, Anjan ;
Yildirim, Yakup ;
Jawad, Anwar Jaafar Mohamad ;
Alshomrani, Ali Saleh .
JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2025, 28 (04) :821-840
[6]   A variational approach to nonlinear evolution equations in optics [J].
Anderson, D ;
Lisak, M ;
Berntson, A .
PRAMANA-JOURNAL OF PHYSICS, 2001, 57 (5-6) :917-936
[7]   Dynamical system of optical soliton parameters for anti-cubic and generalized anti-cubic nonlinearities with super-Gaussian and super-sech pulses [J].
Ayela, Amour Marc ;
Edah, Gaston ;
Biswas, Anjan ;
Zhou, Qin ;
Yildirim, Yakup ;
Khan, Salam ;
Alzahrani, Abdullah K. ;
Belic, Milivoj R. .
OPTICA APPLICATA, 2022, 52 (01) :117-128
[8]   Chirped super-Gaussian and super-sech pulse perturbation of nonlinear Schrodinger's equation with quadratic-cubic nonlinearity by variational principle [J].
Ayela, Amour Marc ;
Edah, Gaston ;
Elloh, Camille ;
Biswas, Anjan ;
Ekici, Mehmet ;
Alzahrani, Abdullah Khamis ;
Belic, Milivoj R. .
PHYSICS LETTERS A, 2021, 396
[9]   Dispersion-managed solitons in optical fibres [J].
Biswas, A .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2002, 4 (01) :84-97
[10]   VARIATIONAL PRINCIPLE FOR VECTOR SPATIAL SOLITONS AND NONLINEAR MODES [J].
CHEN, YJ .
OPTICS COMMUNICATIONS, 1991, 84 (5-6) :355-358