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   Articles with "gerdjikov ivanov" as a keyword



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Trace formula and new form of N-soliton to the Gerdjikov–Ivanov equation

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recommendations! Published in 2018 at "Analysis and Mathematical Physics"

DOI: 10.1007/s13324-017-0179-3

Abstract: The Gerdjikov–Ivanov equation is investigated by the Riemann–Hilbert approach and the technique of regularization. The trace formula and new form of N-soliton solution are given. The dynamics of the stationary solitons and non-stationary solitons are… read more here.

Keywords: gerdjikov ivanov; ivanov equation; formula new; new form ... See more keywords
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Optical solitons for Gerdjikov–Ivanov model by extended trial equation scheme

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recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2017.12.095

Abstract: Abstract This paper studies the dynamics of soliton propagation through optical fibers and PCF that are governed by Gerdjikov–Ivanov equation. The extended trial function approach is the integration scheme that is employed in this paper.… read more here.

Keywords: gerdjikov ivanov; extended trial; optical solitons; scheme ... See more keywords
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Soliton Solutions to the Coupled Gerdjikov–Ivanov Equation with Rogue-Wave-Like Phenomena

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recommendations! Published in 2017 at "Chinese Physics Letters"

DOI: 10.1088/0256-307x/34/9/090201

Abstract: Bilinear forms of the coupled Gerdjikov–Ivanov equation are derived. The N-soliton solutions to the equation are obtained by Hirota's method. It is interesting that the two-soliton solutions can generate the rogue-wave-like phenomena by selecting special… read more here.

Keywords: coupled gerdjikov; gerdjikov ivanov; soliton solutions; ivanov equation ... See more keywords
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General N-soliton solutions to the two types of nonlocal Gerdjikov-Ivanov equations via Riemann-Hilbert problem

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recommendations! Published in 2023 at "Physica Scripta"

DOI: 10.1088/1402-4896/acccb5

Abstract: This paper mainly makes use of the Riemann-Hilbert approach to solve the two types of nonlocal Gerdjikov-Ivanov equations derived by different nonlocal group reductions. The Riemann-Hilbert problem of the general Gerdjikov-Ivanov equation is constructed and… read more here.

Keywords: ivanov equations; riemann hilbert; gerdjikov ivanov; soliton solutions ... See more keywords
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Abundant wave solutions of the perturbed Gerdjikov–Ivanov equation in telecommunication industry

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recommendations! Published in 2021 at "Modern Physics Letters B"

DOI: 10.1142/s021798492150456x

Abstract: In this paper, the solitary wave solutions of the complex perturbed Gerdjikov–Ivanov (CPGI) equation are investigated by employing the extended simplest equation (ESE) and modified Khater (MKhat) methods. The studied equation describes the physical characterization… read more here.

Keywords: gerdjikov ivanov; wave solutions; perturbed gerdjikov; equation ... See more keywords