TY - JOUR
T1 - Propagating wave patterns in a derivative nonlinear schrödinger system with quintic nonlinearity
AU - Rogers, Colin
AU - Malomed, Boris
AU - Li, Jin Hua
AU - Chow, Kwok Wing
PY - 2012/9
Y1 - 2012/9
N2 - Exact expressions are obtained for a diversity of propagating patterns for a derivative nonlinear Schrödinger equation with the quintic nonlinearity. These patterns include bright pulses, fronts and dark solitons. The evolution of the wave envelope is determined via a pair of integrals of motion, and reduction is achieved to Jacobi elliptic cn and dn function representations. Numerical simulations are performed to establish the existence of parameter ranges for stability. The derivative quintic nonlinear Schrödinger model equations investigated here are relevant in the analysis of strong optical signals propagating in spatial or temporal waveguides.
AB - Exact expressions are obtained for a diversity of propagating patterns for a derivative nonlinear Schrödinger equation with the quintic nonlinearity. These patterns include bright pulses, fronts and dark solitons. The evolution of the wave envelope is determined via a pair of integrals of motion, and reduction is achieved to Jacobi elliptic cn and dn function representations. Numerical simulations are performed to establish the existence of parameter ranges for stability. The derivative quintic nonlinear Schrödinger model equations investigated here are relevant in the analysis of strong optical signals propagating in spatial or temporal waveguides.
KW - Derivative nonlinear Schrödinger equation
KW - Quintic nonlinearity
UR - http://www.scopus.com/inward/record.url?scp=84866359059&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.81.094005
DO - 10.1143/JPSJ.81.094005
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84866359059
SN - 0031-9015
VL - 81
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 9
M1 - 094005
ER -