Dispersive optical soliton solutions of the $$(2 + 1)$$-dimensional cascaded system governing by coupled nonlinear Schrödinger equation with Kerr law nonlinearity in plasma

Das, Nilkanta; Ray, S. Saha

doi:10.1007/s11082-022-04285-4

Cited by 18 publications

(2 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Different types of phenomenon occurring chemically, biologically and economically, among others, are represented as non-linear partial differential equations (NLPDEs). Many different methods have been developed to gain the analytical wave solutions of these NLPDEs, i.e., the optical soliton solutions of coupled nonlinear Schrödinger equations have been gained with the use of the Kudryashov R function technique [13], some new kinds of optical soliton solutions of time-fractional perturbed nonlinear Schrödinger equations have been achieved by using the generalized Kudryashov scheme [14], by applying the modified auxiliary equation technique, optical wave solutions of time-fractional resonant non-linear Schrödinger equations have been obtained [15] and new optical wave solutions for time-fractional perturbed non-linear Schrödinger equations have been achieved by utilizing the improved tan(φ(ζ/2))-expansion scheme [16].…”

Section: Introductionmentioning

confidence: 99%

Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Alsharidi

Bekir

2023

Symmetry

View full text Add to dashboard Cite

In this paper, we succeed at discovering the new exact wave solutions to the truncated M-fractional complex three coupled Maccari’s system by utilizing the Sardar sub-equation scheme. The obtained solutions are in the form of trigonometric and hyperbolic forms. These solutions have many applications in nonlinear optics, fiber optics, deep water-waves, plasma physics, mathematical physics, fluid mechanics, hydrodynamics and engineering, where the propagation of nonlinear waves is important. Achieved solutions are verified with the use of Mathematica software. Some of the achieved solutions are also described graphically by 2-dimensional, 3-dimensional and contour plots with the help of Maple software. The gained solutions are helpful for the further development of a concerned model. Finally, this technique is simple, fruitful and reliable to handle nonlinear fractional partial differential equations (NLFPDEs).

show abstract

Section: Introductionmentioning

confidence: 99%

Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Alsharidi

Bekir

2023

Symmetry

View full text Add to dashboard Cite

show abstract

“…Different types of phenomenon occurring chemically, biologically, economically and others are represented as a non-linear partial differential equations (NLPDEs). Many different methods are developed to gain the analytical wave solutions of these NLPDEs i.e optical soliton solutions of coupled nonlinear Schrödinger equation have been gained with the use of Kudryashov R function technique [1], some new kind of optical soliton solutions of time-fractional perturbed nonlinear Schrödinger equation have been achieved by using the generalized Kudryashov scheme [2], by applying the modified auxiliary equation technique, optical wave solutions of time-fractional resonant non-linear Schrödinger equation have been obtained [3], new optical wave solutions for the time-fractional perturbed non-linear Schrödinger equation have been achieved by utilizing the improved tan(φ(ζ/2))-expansion scheme [4].…”

Section: Introductionmentioning

confidence: 99%

Discovery of New ExactWave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Alsharidi¹,

Bekir²

2023

Preprint

View full text Add to dashboard Cite

In this paper, we succeed to discover the new exact wave solutions to the truncated M-fractional complex three coupled Maccari’s system by utilizing the Sardar sub-equation scheme. The obtained solutions are in the form of trigonometric and hyperbolic forms. These solutions have many applications in nonlinear optics, fiber optics, deep water-waves, plasma physics, mathematical physics, fluid mechanics, hydrodynamics and engineering where the propagation of nonlinear waves is important. Achieved solutions are verified with the use of Mathematica software. Some of the achieved solutions are also described graphically by 2-dimensional, 3-dimensional and contour plots with the help of Maple software. The gained solutions are helpful for the further development of concerned model. Finally, this technique is simple, fruitful and reliable to handle the nonlinear FPDEs.

show abstract

Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science

et al. 2023

View full text Add to dashboard Cite

Dispersive optical soliton solutions of the $$(2 + 1)$$-dimensional cascaded system governing by coupled nonlinear Schrödinger equation with Kerr law nonlinearity in plasma

Cited by 18 publications

References 40 publications

Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Discovery of New ExactWave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme

Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science

Contact Info

Product

Resources

About