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Interacting Solitons, Periodic Waves and Breather for Modified Korteweg–de Vries Equation |
| Vladimir I. Kruglov1* and Houria Triki2 |
1Centre for Engineering Quantum Systems, School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
2Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria
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| Cite this article: |
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Vladimir I. Kruglov and Houria Triki 2023 Chin. Phys. Lett. 40 090503 |
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Abstract We theoretically demonstrate a rich and significant new families of exact spatially localized and periodic wave solutions for a modified Korteweg–de Vries equation. The model applies for the description of different nonlinear structures which include breathers, interacting solitons and interacting periodic wave solutions. A joint parameter which can take both positive and negative values of unity appeared in the functional forms of those closed form solutions, thus implying that every solution is determined for each value of this parameter. The results indicate that the existence of newly derived structures depend on whether the type of nonlinearity of the medium should be considered self-focusing or defocusing. The obtained nonlinear waveforms show interesting properties that may find practical applications.
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Received: 24 July 2023
Published: 07 September 2023
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| PACS: |
05.45.Yv
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(Solitons)
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42.65.Tg
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(Optical solitons; nonlinear guided waves)
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42.81.Qb
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(Fiber waveguides, couplers, and arrays)
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