Skip to content
Research Article Open access CC BY 4.0

Soliton Solutions for Time Fractional Hamiltonian System

Abbas H. Taqi

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 16 Aug 2017

10.9734/JAMCS/2017/35372

Abstract

In this paper, soliton solutions of a fractional partial differential equations using modified extended tanh method with Riccati equation have been proposed. This method is applied to obtain solitary wave solution for the nonlinear time fractional Hamiltonian system. The system is converted into a system of ordinary differential equations using fractional complex transforms and the properties of modified Riemann-Liouville derivative. The proposed technique is concise and easily applicable for solving wide types of time-fractional partial differential equations.

Fractional Hamiltonian system modified extended tanh method.

References (29)

  1. 1 Fractional Differential Equations [DOI]
  2. 2 Theory and Applications of Fractional Differential Equations [DOI]
  3. 3 Extended tanh-function method and its applications to nonlinear equations [DOI]
  4. 4 Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results [DOI]
  5. 5 Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media [DOI]
  6. 6 Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functions [DOI]
  7. 7 The first integral method for some time fractional differential equations [DOI]
  8. 8 New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations [DOI]
  9. 9 The Adomian decomposition method for solving partial differential equations of fractal order in finite domains [DOI]
  10. 10 Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations [DOI]
  11. 11 Modified Kudryashov method for solving the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities [DOI]
  12. 12 Homotopy perturbation method for solving the space–time fractional advection–dispersion equation [DOI]
  13. 13 An Algorithm for Solving the Fractional Nonlinear Schrödinger Equation by Means of the Homotopy Perturbation Method [DOI]
  14. 14 A novel analytical method for time-fractional differential equations [DOI]
  15. 15 The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations [DOI]
  16. 16 New analytical exact solutions of time fractional KdV–KZK equation by Kudryashov methods [DOI]
  17. 17 Solitons and periodic solutions to a couple of fractional nonlinear evolution equations [DOI]
  18. 18 Bright and dark soliton solutions for some nonlinear fractional differential equations [DOI]
  19. 19 Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods [DOI]
  20. 20 Analysis of nonlinear fractional partial differential equations with the homotopy analysis method [DOI]
  21. 21 The First Integral Method for Time-Space Fractional Differential Equations [DOI]
  22. 22 Analytical Approach for the Space-time Nonlinear Partial Differential Fractional Equation [DOI]
  23. 23 The functional variable method for solving the fractional Korteweg–de Vries equations and the coupled Korteweg–de Vries equations [DOI]
  24. 24 Topological and non-topological soliton solutions to some time-fractional differential equations [DOI]
  25. 25 Exact solution of the Wick-type stochastic fractional coupled KdV equations [DOI]
  26. 26 A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations [DOI]
  27. 27 EXACT SOLITON SOLUTIONS FOR THE HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION [DOI]
  28. 28 The new modified Ishikawa iteration method for the approximate solution of different types of differential equations [DOI]
  29. 29 Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations

Cited by 0

No indexed citations yet.

Article metrics

Real usage data collected on this platform.

6

Page views

0

PDF downloads

0

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.