QUASI-STATIONARY SOLITONS FOR LANGMUIR WAVES IN PLASMAS WITH FULL NONLINEARITY

The quasi-stationary solitons for Langmuir waves in plasmas is obtained in this paper. This model is governed by the perturbed nonlinear Schrödinger's equation with cubic and power law nonlinearities. The perturbation terms are considered with full nonlinearity. A new generalized definition of the phase of the soliton is introduced. This leads to additional information at higher order level which soliton perturbation theory fails to capture.

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New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity

International Journal of Modern Physics B ◽

10.1142/s0217979220500320 ◽

2020 ◽

Vol 34 (06) ◽

pp. 2050032 ◽

Cited By ~ 1

Author(s):

Khalid K. Ali ◽

Hadi Rezazadeh ◽

R. A. Talarposhti ◽

Ahmet Bekir

Keyword(s):

Power Law ◽

Soliton Solutions ◽

Schrödinger’S Equation ◽

Modified Kudryashov Method ◽

Cubic Law ◽

Kudryashov Method ◽

Full Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

In this paper, we discuss deep visual solutions of resonant nonlinear Schrödinger’s equation having full nonlinearity via taking the modified Kudryashov method. There are four types of nonlinearity in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law and triple-power law. By performing this algorithm, logarithmical and rational solitons are deduced.

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Soliton perturbation theory for the modified nonlinear Schrödinger’s equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2005.11.006 ◽

2007 ◽

Vol 12 (6) ◽

pp. 886-903 ◽

Cited By ~ 15

Author(s):

Anjan Biswas ◽

K. Porsezian

Keyword(s):

Perturbation Theory ◽

Schrödinger’S Equation ◽

Soliton Perturbation ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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DISPERSION-MANAGED SOLITONS IN OPTICAL COUPLERS

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863503001201 ◽

2003 ◽

Vol 12 (01) ◽

pp. 45-74 ◽

Cited By ~ 13

Author(s):

ANJAN BISWAS

Keyword(s):

Perturbation Theory ◽

Schrödinger’S Equation ◽

Soliton Perturbation ◽

Gaussian Solitons ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation ◽

Optical Couplers

The soliton perturbation theory is employed to study chirped solitons that propagate through optical couplers and is governed by the dispersion-managed nonlinear Schrödinger's equation. Here, in this paper, we have considered both kinds of couplers namely twin-core as well as the multiple-core type. In either case, both Gaussian and super-Gaussian solitons are taken into account.

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Optical soliton perturbation with resonant nonlinear Schrödinger's equation having full nonlinearity by modified simple equation method

Optik ◽

10.1016/j.ijleo.2018.01.098 ◽

2018 ◽

Vol 160 ◽

pp. 33-43 ◽

Cited By ~ 40

Author(s):

Anjan Biswas ◽

Yakup Yildirim ◽

Emrullah Yasar ◽

Qin Zhou ◽

Seithuti P. Moshokoa ◽

...

Keyword(s):

Optical Soliton ◽

Simple Equation ◽

Equation Method ◽

Schrödinger’S Equation ◽

Soliton Perturbation ◽

Modified Simple Equation Method ◽

Full Nonlinearity ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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QUANTUM SINGULARITIES IN STATIC AND CONFORMALLY STATIC SPACE-TIMES

International Journal of Modern Physics A ◽

10.1142/s0217751x11054334 ◽

2011 ◽

Vol 26 (22) ◽

pp. 3878-3888 ◽

Cited By ~ 12

Author(s):

D. A. KONKOWSKI ◽

T. M. HELLIWELL

Keyword(s):

Power Law ◽

Cosmic String ◽

Higher Order ◽

Space Time ◽

Differential Invariants ◽

Future Research ◽

Quantum Singularities ◽

Definition Of ◽

Friedmann Robertson Walker ◽

Static Space

The definition of quantum singularity is extended from static space-times to conformally static space-times. After the usual definitions of classical and quantum singularities are reviewed, examples of quantum singularities in static space-times are given. These include asymptotically power-law space-times, space-times with diverging higher-order differential invariants, and a space-time with a 2-sphere singularity. The theory behind quantum singularities in conformally static space-times is followed by an example, a Friedmann-Robertson-Walker space-time with cosmic string. The paper concludes by discussing areas of future research.

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Bright, dark and W-shaped solitons with extended nonlinear Schrödinger's equation for odd and even higher-order terms

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.12.007 ◽

2018 ◽

Vol 114 ◽

pp. 53-61 ◽

Cited By ~ 34

Author(s):

Issam Bendahmane ◽

Houria Triki ◽

Anjan Biswas ◽

Ali Saleh Alshomrani ◽

Qin Zhou ◽

...

Keyword(s):

Higher Order ◽

Schrödinger’S Equation ◽

Higher Order Terms ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Perturbation Theory and Dalgarno-Lewis (DL) Method in Presence of Multiple Laser Beams

Nepal Journal of Science and Technology ◽

10.3126/njst.v14i2.10432 ◽

2014 ◽

Vol 14 (2) ◽

pp. 165-170

Author(s):

N Shrestha

Keyword(s):

Perturbation Theory ◽

Matrix Element ◽

Science And Technology ◽

Iterative Solution ◽

Higher Order ◽

Order Perturbation ◽

Laser Beams ◽

Schrödinger’S Equation ◽

Schrödinger's Equation

The evaluation of second and higher order perturbation of energy by iterative solution of Schrodinger’s equation, rather than evaluation of matrix element is described. DOI: http://dx.doi.org/10.3126/njst.v14i2.10432 Nepal Journal of Science and Technology Vol. 14, No. 2 (2013) 165-170

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OPTICAL SOLITONS WITH DUAL-POWER LAW NONLINEARITY USING LIE SYMMETRIES

Modern Physics Letters B ◽

10.1142/s0217984910024201 ◽

2010 ◽

Vol 24 (17) ◽

pp. 1833-1838 ◽

Cited By ~ 4

Author(s):

C. MASOOD KHALIQUE ◽

ANJAN BISWAS

Keyword(s):

Power Law ◽

Soliton Solution ◽

Optical Solitons ◽

Lie Symmetry ◽

Lie Symmetries ◽

Schrödinger’S Equation ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation ◽

Dual Power

This paper obtains the stationary optical 1-soliton solution of the nonlinear Schrödinger's equation with dual-power law nonlinearity. The technique of Lie symmetry is used to obtain the solution.

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