Skip to content
Research Article Open access CC BY 4.0

Exact Solutions and Rogue Waves for the Derivative Nonlinear SchrÖdinger Equation

Changfu Liu, Jinmei Liu, Ping Zhou

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 18 Apr 2019

10.9734/jamcs/2019/v31i630127

Abstract

Exact solutions which contain periodic solutions, soliton solutions and rogue wave solutions for two the modied derivative nonlinear Schrodinger equations, are obtained by means of solutions of a known derivative nonlinear SchrÖdinger equation. Two solutions' images are displayed, which can help one understand their dynamical behavior better. These results enrich the solutions' structural diversity for the modied derivative nonlinear schrÖdinger equations.

The derivative nonlinear SchrÖdinger equation The similarity transformation Exact solution Rogue wave solution

References (14)

  1. 1 An exact solution for a derivative nonlinear Schrödinger equation [DOI]
  2. 2 On the modulational instability of hydromagnetic waves parallel to the magnetic field [DOI]
  3. 3 Nonlinear asymmetric self-phase modulation and self-steepening of pulses in long optical waveguides [DOI]
  4. 4 Self-phase modulation in long-geometry optical waveguides [DOI]
  5. 5 On the derivative nonlinear Schrödinger equation [DOI]
  6. 6 Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation [DOI]
  7. 7 DNLS equation for large-amplitude solitons propagating in an arbitrary direction in a high-β Hall plasma [DOI]
  8. 8 The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation [DOI]
  9. 9 Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type [DOI]
  10. 10 N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions [DOI]
  11. 11 Degeneracy in bright–dark solitons of the Derivative Nonlinear Schrödinger equation [DOI]
  12. 12 Adiabatic interaction of N ultrashort solitons: Universality of the complex Toda chain model [DOI]
  13. 13 Homoclinic orbits for soliton equations solvable via the quadratic bundle [DOI]
  14. 14 The Darboux transformation of the derivative nonlinear Schrodinger equation

Cited by 0

No indexed citations yet.

Article metrics

Real usage data collected on this platform.

23

Page views

0

PDF downloads

13

Outbound clicks

0

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.