Conservation laws for highly dispersive optical solitons in birefringent fibers

DOI10.1134/S1560354720020033zbMath1433.78019OpenAlexW3016246412MaRDI QIDQ1987319

Milivoj R. Belic, Qin Zhou, Abdullah Kamis Alzahrani, Anjan Biswas, Abdul Hamid Kara

Publication date: 14 April 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354720020033

zbMATH Keywords

conservation lawsbirefringent fibershighly dispersive solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Lasers, masers, optical bistability, nonlinear optics (78A60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation ⋮ Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme ⋮ On the investigation of chiral solitons via modified new Kudryashov method ⋮ Conservation laws for solitons in magneto-optic waveguides with anti-cubic and generalized anti-cubic nonlinearities ⋮ Cubic-quartic optical solitons and conservation laws with Kudryashov's law of refractive index by extended trial function ⋮ Highly dispersive optical solitons and conservation laws in absence of self-phase modulation with new Kudryashov's approach

Cites Work

• Variational principles for second-order quasi-linear scalar equations
• Relationship between symmetries and conservation laws
• The cohomology of invariant variational bicomplexes
• Solitary wave solutions of hierarchy with non-local nonlinearity
• Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations
• The homotopy operator method for symbolic integration by parts and inversion of divergences with applications
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment

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