Interactions of fractional N-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy

@article{Zhang2022InteractionsOF,
  title={Interactions of fractional N-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy},
  author={Minghe Zhang and Weifang Weng and Zhenya Yan},
  journal={Physica D: Nonlinear Phenomena},
  year={2022}
}
[PDF] Semantic Reader
2 Citations
Methods Citations
2

Figures from this paper

2 Citations

Nondegenerate solitons in the integrable fractional coupled Hirota equation

New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies

  • Zhenya Yan
  • Mathematics
    Chaos, Solitons & Fractals
  • 2022

References

SHOWING 1-10 OF 46 REFERENCES

Method for solving the Korteweg-deVries equation

A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as…

Fractional Integrable Nonlinear Soliton Equations.

Nonlinear integrable equations serve as a foundation for nonlinear dynamics, and fractional equations are well known in anomalous diffusion. We connect these two fields by presenting the discovery of…

Optical Solitons and Vortices in Fractional Media: A Mini-Review of Recent Results

The article produces a brief review of some recent results which predict stable propagation of solitons and solitary vortices in models based on the nonlinear Schrodinger equation (NLSE) including…

and a at

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…

Dynamical Fractional Chaotic Inflation Y Dynamical Generation of a Fractional Power-Law Potential for Chaotic Inflation Z

Chaotic inflation based on a simple monomial scalar potential, V (φ) ∝ φ, is an attractive large-field model of inflation capable of generating a sizable tensor-to-scalar ratio r. Therefore, assuming…

Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential

What is the fractional Laplacian? A comparative review with new results

Riemann–Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

High-order soliton matrices for Sasa–Satsuma equation via local Riemann–Hilbert problem

High-accuracy power series solutions with arbitrarily large radius of convergence for the fractional nonlinear Schrödinger-type equations

Fractional nonlinear differential equations present an interplay between two common and important effective descriptions used to simplify high dimensional or more complicated theories: nonlinearity…