Bright soliton solutions and collisions for a (3+1)-dimensional coupled nonlinear Schrödinger system in optical-fiber communication. (June 2015)

• Record Type: Journal Article
• Authors: Huang, Zhi-Ruo; Tian, Bo; Wang, Yun-Po; Sun, Ya
• Is Part Of: Computers & mathematics with applications. Volume 69:issue 12(2015)
• Page Start: 1383
• Page End: 1389
• Publication Date: 2015-06
• Subjects: Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2015.03.008
• Languages: English
• ISSNs: 0898-1221

Abstract

<abstract xml:lang="en" abstract-type="author" id="a000005"> <title id="st000005">Abstract</title> <sec> <p id="sp000030">A <inline-formula><alternatives><inline-graphic xlink:href="ark:/27927/pgjq036h22" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math altimg="si22.gif" display="inline" overflow="scroll" id="d13e790" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></alternatives></inline-formula>-dimensional coupled nonlinear Schrödinger system is investigated, which describes the pulses in an optical fiber and transverse effects in a nonlinear optical system. With the aid of symbolic computation and Hirota method, bright one- and two-soliton solutions of the system are derived. On the basis of the soliton solutions, we will graphically discuss the head-on collisions which include the elastic and inelastic collisions between the two bright solitons. After an elastic collision, two colliding solitons keep their shapes, amplitudes and velocities unchanged except for some phase shifts, while inelastically, the intensity of one soliton is enhanced, while the other gets suppressed.</p> </sec> </abstract>