Soliton solutions and Backlund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation

被引：1

作者：

Qu, Qi-Xing ^{[1
,2
]}

Tian, Bo ^{[1
,2
,3
]}

Liu, Wen-Jun ^{[1
,2
]}

Wang, Pan ^{[1
,2
]}

Jiang, Yan ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[3] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 21期

基金：

国家高技术研究发展计划(863计划);

关键词：

Normalized linearly coupled nonlinear wave equations; Hirota's method; Soliton solution; Backlund transformation; Lax pair; Symbolic computation; SHORT OPTICAL PULSES; INTERMODAL DISPERSION; DIRECTIONAL-COUPLERS; SWITCHING DYNAMICS; SCHRODINGER MODEL; FIBER COUPLERS; KDV EQUATION; DUSTY PLASMA; PROPAGATION; BRIGHTONS;

D O I：

10.1016/j.amc.2012.03.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under investigation in this paper are the normalized linearly coupled nonlinear wave equations, which can be used to describe the pulse propagation in the two-core optical fiber. Based on the Hirota's method and symbolic computation, the bilinear form and soliton solutions for the equations are derived. Furthermore, Backlund transformation (BT) in bilinear forms is given. Through the BT, a type of solutions and Lax pair are derived under certain conditions. Propagation characteristics and interaction behaviors of the solitons are discussed through the graphical analysis. Results of this paper might be helpful for the future development of some optical devices used in the modern optical communication systems, such as the directional couplers, polarization splitters, interferometers and modulators. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：10386 / 10392

页数：7

共 42 条

[1] Ablowitz M., 1991, Soliton, Nonlinear Evolution Equations and Inverse Scattering
[2] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE
ABLOWITZ, MJ
KAUP, DJ
NEWELL, AC
SEGUR, H
[J]. PHYSICAL REVIEW LETTERS, 1973, 31 (02) : 125 - 127
[3] [Anonymous], 1980, DIRECT METHOD SOLITO
[4] Symbolic calculation in chemistry: Selected examples
Barnett, MP
Capitani, JF
von zur Gathen, J
Gerhard, J
[J]. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2004, 100 (02) : 80 - 104
[5] INTERMODAL DISPERSION IN 2-CORE OPTICAL FIBERS
CHIANG, KS
[J]. OPTICS LETTERS, 1995, 20 (09) : 997 - 999
[6] Propagation of short optical pulses in directional couplers with Kerr nonlinearity
Chiang, KS
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (06) : 1437 - 1443
[7] SOLITON SWITCHING AND PROPAGATION IN NONLINEAR FIBER COUPLERS - ANALYTICAL RESULTS
CHU, PL
MALOMED, BA
PENG, GD
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1993, 10 (08) : 1379 - 1385
[8] Response to "Comment on 'A new mathematical approach for finding the solitary waves in dusty plasma'" [Phys. Plasmas 6, 4392 (1999)]
Das, GC
Sarma, J
[J]. PHYSICS OF PLASMAS, 1999, 6 (11) : 4394 - 4397
[9] PARTIAL-DERIVATIVE-OVERBAR-DRESSING AND EXACT-SOLUTIONS FOR THE (2+1)-DIMENSIONAL HARRY-DYM EQUATION
DUBROVSKY, VG
KONOPELCHENKO, BG
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (13): : 4619 - 4628
[10] PICOSECOND STEPS AND DARK PULSES THROUGH NONLINEAR SINGLE-MODE FIBERS
EMPLIT, P
HAMAIDE, JP
REYNAUD, F
FROEHLY, C
BARTHELEMY, A
[J]. OPTICS COMMUNICATIONS, 1987, 62 (06) : 374 - 379

← 1 2 3 4 5 →