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Analyzing pulse behavior in optical fiber: Novel solitary wave solutions of the perturbed Chen–Lee–Liu equation

Modern physics letters B, 2023
This study explores the novel solitary wave solutions of the perturbed Chen–Lee–Liu (CLL) equation, aiming to elucidate the physical and dynamic behaviors of pulses in optical fiber.
M. Khater
semanticscholar   +1 more source

Physical structure and multiple solitary wave solutions for the nonlinear Jaulent–Miodek hierarchy equation

Modern physics letters B, 2023
In this paper, under the observation of extended modified rational expansion method based on symbolic computation, the multiple solitary wave solutions for nonlinear two-dimensional Jaulent–Miodek Hierarchy (JMH) equation are constructed.
M. Iqbal   +3 more
semanticscholar   +1 more source

NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION

Fractals, 2023
This work suggests a fractional modification of the KdV–Kadomtsev–Petviashvili model with the beta-derivative to consider unsmooth boundary. Some new interesting solitary waves are found for the first time ever by the fractional sine–cosine method and ...
Kang-le Wang
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Exact solitary wave solutions of nonlinear wave equations

Science in China Series A: Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Guixu, Li, Zhibin, Duan, Yishi
openaire   +1 more source

Solitary wave solutions of the MKdV− equation

Computer Methods in Applied Mechanics and Engineering, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gardner, L. R. T.   +2 more
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Solitary-Wave Solutions of the Benjamin Equation

SIAM Journal on Applied Mathematics, 1999
The aim is to develop a rigorous constructive proof of existence and stability for solitary solutions to the Benjamin equation that describes wave propagation on an interface between two finite-depth layers of an inviscid fluid, in the case when capillary effects are not negligible.
Albert, John P.   +2 more
openaire   +2 more sources

Improved solution for solitary waves in arteries

Journal of Mathematical Biology, 1999
Nonlinear waves are investigated numerically by a direct analysis of the field equations, thereby establishing the magnitude of the errors inherent in the commonly used reductive perturbation technique. The method is also applied beyond the long-wave approximation and a comparative assessment of the results obtained is presented.
Epstein, Marcelo, Johnston, Clifton
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Relativistic Solitary-Wave Solutions of the Beat-Wave Equations

Physical Review Letters, 1986
The relativistic equations governing the nonlinear interaction of two light waves and a Langmuir wave are shown to admit two classes of solitary-wave solutions. Temporal solitary waves propagate at speeds greater than the speed of light and carry no information.
, McKinstrie, , DuBois
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Solitary wave solution, traveling wave solution and other solutions of variable-coefficients Chiral Schrödinger equation

International Journal of Geometric Methods in Modern Physics, 2023
This paper investigates different kinds of exact solutions of variable-coefficients Chiral Schrödinger equation [Formula: see text]. In this equation, the fractional quantum Hall effect edge states are described. By the unified method, we successfully get the soliton, solitary and elliptic wave solutions.
Liu Yang, Ben Gao
openaire   +1 more source

Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations

Applied Mathematics and Computation, 2020
Hierarchy of the perturbed nonlinear Schrodinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary
N. Kudryashov
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