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Author:

Guo, Shimin (Guo, Shimin.) | Mei, Liquan (Mei, Liquan.) | Fang, Ye (Fang, Ye.) | Qiu, Zhiyu (Qiu, Zhiyu.)

Indexed by:

SCIE Scopus

Abstract:

In this Letter, the fractional variational iteration method using He's polynomials is implemented to construct compacton solutions and solitary pattern solutions of nonlinear time-fractional dispersive KdV-type equations involving Jumarie's modified Riemann-Liouville derivative. The method yields solutions in the forms of convergent series with easily calculable terms. The obtained results show that the considered method is quite effective, promising and convenient for solving fractional nonlinear dispersive equations. It is found that the time-fractional parameter significantly changes the soliton amplitude of the solitary waves. (C) 2011 Elsevier B.V. All rights reserved.

Keyword:

Compacton solution Fractional differential equation KdV-type equations Modified Riemann-Liouville derivative Solitary pattern solution

Author Community:

  • [ 1 ] [Guo, Shimin; Mei, Liquan; Fang, Ye] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
  • [ 2 ] [Qiu, Zhiyu] Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China.

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Source :

PHYSICS LETTERS A

ISSN: 0375-9601

Year: 2012

Issue: 3

Volume: 376

Page: 158-164

1 . 7 6 6

JCR@2012

2 . 6 5 4

JCR@2020

ESI Discipline: PHYSICS;

ESI HC Threshold:196

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 13

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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