SOLITON SOLUTIONS OF ONE-DIMENSIONAL GENERALIZED GROSS-PITAEVSKII EQUATIONS WITH CUBIC-QUINTIC-SEPTIC NONLINEARITY
ZHEN ZHEN HUANG
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
ZHAO YUN GE *
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
YING WANG
School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
*Author to whom correspondence should be addressed.
Abstract
Based on the cubic-quintic-septic nonlinear formulation for typical physical systems with higher-order nonlinearity, we solve the one-dimensional Gross-Pitaevskii equation, and simulate the higher-order nonlinear effects of such systems under certain experimental conditions. Through F-expansion method and modulus-phase transformation, we reach the analytical solutions of the model, and the single and double soliton solutions are identified, and the septic-order nonlinearity is shown with the special nonlinear characteristics of the system.
Keywords: Nonlinear Schrödinger equation, septic-order nonlinearity, soliton.