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   Articles with "ivanov equation" as a keyword



Novel exact solutions to the perturbed Gerdjikov–Ivanov equation

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recommendations! Published in 2024 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-024-07166-0

Abstract: This paper introduces the Nucci reduction method, a novel and efficient approach for deriving exact solutions to the perturbed Gerdjikov–Ivanov equation, offering a significant advancement in the field. The suggested technique involves transforming the equation… read more here.

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

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

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

The Riemann-Hilbert Approach to the Higher-Order Gerdjikov-Ivanov Equation on the Half Line

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recommendations! Published in 2024 at "Symmetry"

DOI: 10.3390/sym16101258

Abstract: The Fokas method exhibits remarkable versatility in solving boundary value problems associated with both linear and nonlinear partial differential equations, particularly when conventional approaches encounter challenges in handling intricate boundary conditions. The existing literature often… read more here.

Keywords: higher order; order gerdjikov; ivanov equation; gerdjikov ivanov ... See more keywords