Creator:

Yuan, Feng ; Zhu, Xiaoming ; Wang, Yulei

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Deformed solitons of a typical set of (2+1)-dimensional complex modified Korteweg - de Vries equations

Group publication title:

AMCS, volume 30 (2020)

Subject and Keywords:

(2+1)-dimensional complex modified Korteweg - de Vries equation ; Darboux transformation ; deformed soliton solution

Abstract:

Deformed soliton solutions are studied in a typical set of (2+1)-dimensional complex modified Korteweg - de Vries (cmKdV) equations. Through constructing the determinant form of the n-fold Darboux transformation for these (2+1)-dimensional cmKdV equations, we obtain general order-n deformed soliton solutions using zero seeds. With no loss of generality, we focus on order-1 and order-2 deformed solitons. Three types of order-1 deformed solitons, namely, the polynomial type, the trigonometric type, and the hyperbolic type, are derived. Meanwhile, their dynamical behaviors, including amplitude, velocity, direction, periodicity, and symmetry, are also investigated in detail.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

DOI:

10.34768/amcs-2020-0026

Pages:

337-350

Source:

AMCS, volume 30, number 2 (2020) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego