Soliton-like solutions for the modified variable-coefficient Ginzburg–Landau equation

✍ Scribed by Jian-Guo Liu; Ye-Zhou Li; Bo Tian

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 1011 KB
• Volume: 14
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2008.01.011

✦ Synopsis

This paper is devoted to studying the solutions of the modified Ginzburg-Landau equation with variable coefficient. Based on computerized symbolic computation, several families of new exact dark-and bright-soliton-like solutions are presented. Moreover, we derive some similarity solutions, which can be illustrated in terms of the elliptic and the second kind of Painleve ´transcendent equation.