Study on dynamic features and traveling wave solutions of perturbed nonlinear Biswas–Milovic equation combining Kudryashov's law of refractive index

This article mainly explores the Biswas–Milovic equation containing Kudryashov's refractive index law and nonlinear perturbation terms. We take the complete discrimination system for polynomial method and the trial equation method to implement qualitative and quantitative studies for the equati...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2024-04, Vol.47 (6), p.4367-4380
Main Authors: Li, Shuang, Du, Xing‐Hua
Format: Article
Language:English
Subjects:
Biswas–Milovic equation
Dynamical systems
Phase diagrams
Polynomials
qualitative analysis
quantitative analysis
Refractivity
Solitary waves
the complete discrimination system for polynomial method
the trial equation method
Traveling waves
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Summary:This article mainly explores the Biswas–Milovic equation containing Kudryashov's refractive index law and nonlinear perturbation terms. We take the complete discrimination system for polynomial method and the trial equation method to implement qualitative and quantitative studies for the equation. We verify that the Hamiltonian of the dynamic system is conserved and apply the complete discrimination system of polynomial method to give the associated global phase diagrams, which are qualitatively analyzed to illustrate the presence of periodic solutions and solitons. In addition, we gain a classification of all single traveling wave solutions, provide optical wave patterns with specific parameters and validate the above findings.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9818