Bifurcations and exact solutions of the optical soliton model in metamaterials dominated by anti-cubic nonlinearity

DOI10.11948/20210317MaRDI QIDQ6598205

Qiuyan Zhang

Publication date: 4 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

bifurcationheteroclinic orbithomoclinic orbitoptical soliton modelperiodic peakon

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear waves in solid mechanics (74J30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Analytical study of solitons in non-Kerr nonlinear negative-index materials
• Optical solitons in metamaterials dominated by anti-cubic nonlinearity and Hamiltonian perturbations
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• Exact Solutions and Dynamics of the Raman Soliton Model in Nanoscale Optical Waveguides, with Metamaterials, Having Polynomial Law Nonlinearity
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS (II): AN EXAMPLE OF GCKdV EQUATIONS
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS
• EXACT STATIONARY-WAVE SOLUTIONS IN THE STANDARD MODEL OF THE KERR-NONLINEAR OPTICAL FIBER WITH THE BRAGG GRATING
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS

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