Exact solutions and dynamics in Schrödinger-Hirota model having multiplicative white noise via Itô calculus

DOI10.1142/S0218127423501341zbMATH Open1541.35464MaRDI QIDQ6538850

Ji-Bin Li, Xian Bo Sun

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

bifurcationperiodic solutionhomoclinic solutioncompactonSchrödinger-Hirota model having multiplicative white noise via Itô calculussingular nonlinear traveling wave equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Bifurcations in context of PDEs (35B32) Bifurcation theory for random and stochastic dynamical systems (37H20) Traveling wave solutions (35C07) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• On a class of physically important integrable equations
• Nonlinear waves and solitons in physical systems
• Dispersive optical solitons with Schrödinger-Hirota model having multiplicative white noise via Itô calculus
• Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
• Generalizations of the Camassa–Holm equation
• Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations

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