Exact Solutions of Cylindrically (Spherically) Nonlinear Schrdinger Equation

Journal Title: 河南科技大学学报(自然科学版) - Year 2018, Vol 39, Issue 2

Abstract

The cylindrically ( spherically) nonlinear Schrdinger equation ( CS-NLS) was studied. A similarity transformation between the CS-NLS and NLS with variable coefficients was obtained. The solutions of the NLS with variable coefficients were obtained by using G'/G-expansion method. According to the similarity transformation, by using the solutions of NLS with variable coefficients and solutions of NLS with constant coefficients, the exact solutions of the CS-NLS were obtained.Specially the exact solutions of the CS-NLS withconstant disperson coefficient and nonlinear coefficient are obtained.

Authors and Affiliations

Jingmei LI, Jinliang ZHANG, Fei WANG

Keywords

Related Articles

Design and Measurement of Near-Field-Focused Planar Arrays

In order to develop the focusing antenna used in the field of microwave hyperthermia, based on the principle of electromagnetic focusing, 4 × 4 near field focused planar microstrip array antenna with an operating frequen...

Research on Torque Control of Electromotor of Automatic Guided Electric Vehicle Based on Back Electromotive Force Waveform

To solve the problem of the permanent magnet synchronous motor's poor dynamic performance in automatic guided electric vehicle (AGV) , the torque control of permanent magnet synchronous motor was studied.The off-line con...

Research on Reinforcement Effect of Widening on Existing Bridges

The employment of a new bridge on the widening of the existing bridge had certain reinforcement effect on the existing bridge.With the variation of transverse distribution coefficient before and after the widening of bri...

Fault Diagnosis of Rolling Bearing by Improved Hilbert-Huang Transform

An improved Hilbert-Huang transform (HHT) time-frequency analysis method was proposed based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN) .A set of intrinsic mode function (IMFs) was gai...

Existence of Positive Solutions for Kirchhoff Type Equation with Singular Term

The Kirchhoff type equation with singularity was considered to obtain the existence of positive solutions to the equation. Firstly,the embedding theorem and the weakly lower semi-continuity of the norm were used to prove...

Download PDF file
  • EP ID EP464688
  • DOI -
  • Views 66
  • Downloads 0

How To Cite

Jingmei LI, Jinliang ZHANG, Fei WANG (2018). Exact Solutions of Cylindrically (Spherically) Nonlinear Schrdinger Equation. 河南科技大学学报(自然科学版), 39(2), -. https://europub.co.uk./articles/-A-464688