Perturbation theory and optical soliton cooling with anti-cubic nonlinearity
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DOI: 10.1016/j.ijleo.2017.05.060
Abstract: Abstract Soliton perturbation theory is applied to obtain the adiabatic variation of its parameters and slow change in velocity. The dynamical system leads to a stable fixed point to which the soliton amplitude and frequency… read more here.
Keywords: soliton; anti cubic; cubic nonlinearity; perturbation theory ... See more keywords
Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle
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DOI: 10.1016/j.ijleo.2017.06.087
Abstract: Abstract The perturbed nonlinear Schrodinger's equation with anti-cubic nonlinearity is studied with the aid of semi-inverse variational principle. The perturbation terms that are included are inter-modal dispersion, third and fourth order dispersion, nonlinear dispersion and… read more here.
Keywords: semi inverse; inverse variational; nonlinearity; anti cubic ... See more keywords
Optical soliton perturbation with quadratic-cubic nonlinearity by Riccati-Bernoulli sub-ODE method and Kudryashov's scheme
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DOI: 10.1016/j.ijleo.2017.07.011
Abstract: Abstract This paper obtains soliton solutions to the perturbed nonlinear Schrodinger's equation with quadratic-cubic nonlinearity. Two integration algorithms are employed. They are Riccati-Bernoulli sub-ODE method and Kudryashov's scheme. This leads to dark, singular and several… read more here.
Keywords: ode method; quadratic cubic; bernoulli sub; riccati bernoulli ... See more keywords
Exact solitons in optical metamaterials with quadratic-cubic nonlinearity using two integration approaches
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DOI: 10.1016/j.ijleo.2017.11.056
Abstract: The aim of this paper is to present soliton solutions in optical metamaterials. The quadratic-cubic nonlinearity is considered. Two efficient algorithms that are the exp(−Φ(η)) exp − Φ η -expansion method and extended Jacobi's elliptic… read more here.
Keywords: exact solitons; metamaterials quadratic; quadratic cubic; cubic nonlinearity ... See more keywords
Chirped and chirp-free optical solitons with generalized anti-cubic nonlinearity by extended trial function scheme
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DOI: 10.1016/j.ijleo.2018.09.045
Abstract: Abstract This paper secures optical soliton solutions with generalized anti-cubic nonlinearity by extended trial function scheme. Both chirped and chirp-free optical soliton solutions are recovered. Bright and singular soliton solutions are obtained from the scheme. read more here.
Keywords: trial function; nonlinearity extended; anti cubic; generalized anti ... See more keywords
Optical solitons having anti-cubic nonlinearity with strategically sound integration architectures
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DOI: 10.1016/j.ijleo.2019.03.078
Abstract: Abstract Optical soliton solutions are recovered for fibers having anti-cubic nonlinear law. Bright, dark and singular optical soliton solutions are retrieved by the aid of three forms of integrability tools. The existence criteria for such… read more here.
Keywords: solitons anti; optical solitons; strategically sound; anti cubic ... See more keywords
Optical solitons in nonlinear negative-index materials with quadratic-cubic nonlinearity
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DOI: 10.1016/j.spmi.2017.05.016
Abstract: Abstract This paper obtains bright and singular optical soliton solutions in nonlinear negative-index materials that appears with quadratic-cubic nonlinearity. The applied integration algorithm is the extended trial equation. Additional waves such as plane waves, periodic… read more here.
Keywords: quadratic cubic; negative index; index materials; cubic nonlinearity ... See more keywords
Closed Form Resonance Solution in Metallic Nanoparticles With Cubic Nonlinearity
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DOI: 10.1109/tnano.2020.2999475
Abstract: Higher order intensity of light introduces third order nonlinear susceptibility in metallic nanostructures. Circuit theory is often used to represent complex phenomena and adequately models the frequency dependent linear resonance in metallic nanostructures with great… read more here.
Keywords: resonance; form; impedance model; cubic nonlinearity ... See more keywords