Propagation of W-shaped and M-shaped solitons with multi-peak interaction for ultrashort light pulse in fibers

Seadawy, Aly R.; Rizvi, Syed T. R.; Ahmed, Sarfaraz; Batool, Tahira

doi:10.1007/s11082-022-04478-x

Cited by 21 publications

(2 citation statements)

References 54 publications

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“…Among them, soliton theory has made significant breakthroughs and progress since the 1960s. It not only opens up research fields in interdisciplinary fields such as mathematics and physics, but also is widely used in plasma, condensed matter physics, optics, biology, communication engineering, etc [1][2][3][4][5][6][7][8]. In nature, many nonlinear phenomena can ultimately be represented by the NEEs.…”

Section: Introductionmentioning

confidence: 99%

Resonant Y-type soliton, X-type soliton and some novel hybrid interaction solutions to the (3+1)-dimensional nonlinear evolution equation for shallow-water waves

Wang

2024

Phys. Scr.

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This research aims to explore some novel solutions to the (3+1)-dimensional nonlinear evolution equation (NEE) for the shallow-water waves. The resonant Y-type soliton (YTS) and X-type soliton (XTS) solutions are derived by applying the novel resonant conditions on the N-soliton solutions(N-SSs) which are extracted via the Hirota bilinear approach. Additionally, some novel and interesting hybrid interaction solutions like the interaction between Y-type soliton and 1-soliton, interaction between Y-type soliton and 1-breather solution, interaction between the Y-type soliton and the soliton molecule on the (x,y)-plane, and interaction between the X-type soliton and 1-soliton are also ascertained. The dynamic attributes of the obtained solutions are described graphically to unveil their physical behaviors. The findings in this work can help us better apprehend the nonlinear dynamics of the considered equation.

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Section: Introductionmentioning

confidence: 99%

Resonant Y-type soliton, X-type soliton and some novel hybrid interaction solutions to the (3+1)-dimensional nonlinear evolution equation for shallow-water waves

Wang

2024

Phys. Scr.

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“…Solitons are solutions to certain types of nonlinear evolution equations that have the remarkable property of maintaining their shape and speed while propagating without losing energy. Solitons are stable and can exist over long distances, making them useful in many fields, including optics, fluid mechanics, and quantum physics [20][21][22]. Researchers have formulated several technique to find solitons solutions of nonlinear PDEs.…”

Section: Introductionmentioning

confidence: 99%

The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach

Faridi,

AlQahtani

2023

Phys. Scr.

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This work scrutinizes the well-known nonlinear non-classical Sobolev-type wave model whichaddress the flow of fluid via fractured rock, thermodynamics and many other fields of modernsciences. The symmetry generators are taking into account the Lie invariance criteria. Thesuggested approach produces the three dimensional Lie algebra, where translation symmetriesin space and time are associated to mass conservation and conservation of energy respectively,the other symmetries are scaling or dilation. The nonlinear non-classical Sobolev-type wavepartial differential equation is transformed into a system of highly nonlinear ordinary differentialequation by employing appropriate similarity transformations through using Lie groupmethodology. The power series technique is used to generate exact wave solutions because theinverse scattering transform cannot solve the Cauchy problem for this equation. The graphicalbehaviour of certain solutions is demonstrated in 3-D and 2-D for particular quantities of thephysical factors in the investigated equation.

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Abundant soliton solutions and different dynamical behaviors of various waveforms to a new (3+1)-dimensional Schrödinger equation in optical fibers

Kumar

Niwas

2023

Opt Quant Electron

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Propagation of W-shaped and M-shaped solitons with multi-peak interaction for ultrashort light pulse in fibers

Cited by 21 publications

References 54 publications

Resonant Y-type soliton, X-type soliton and some novel hybrid interaction solutions to the (3+1)-dimensional nonlinear evolution equation for shallow-water waves

Resonant Y-type soliton, X-type soliton and some novel hybrid interaction solutions to the (3+1)-dimensional nonlinear evolution equation for shallow-water waves

The explicit power series solution formation and computationof Lie point infinitesimals generators: Lie symmetry approach

Abundant soliton solutions and different dynamical behaviors of various waveforms to a new (3+1)-dimensional Schrödinger equation in optical fibers

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