Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals

doi:10.1007/s10483-008-0201-x

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (2): 139-144 .doi: https://doi.org/10.1007/s10483-008-0201-x

• Articles • Next Articles

Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals

FANG Shao-mei, GUO Bo-ling

1. Department of Mathematics, South China Agricultural University, Guangzhou 510642, P. R. China;
2. Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong Province, P. R. China;
3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

Received:2007-08-29 Revised:2007-12-25 Online:2008-02-18 Published:2008-02-18
Contact: FANG Shao-mei

Abstract

2010 MSC Number:

FANG Shao-mei;GUO Bo-ling. Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals. Applied Mathematics and Mechanics (English Edition), 2008, 29(2): 139-144 .

TrendMD

[1]	Luyu SHEN, Changgen LU. Local receptivity in non-parallel boundary layer [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(7): 929-940.
[2]	Luyu SHEN, Changgen LU. Boundary-layer receptivity under interaction of free-stream turbulence and localized wall roughness [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 349-360.
[3]	M. AREFI. Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage [J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 289-302.
[4]	Zailin YANG, Baoping HEI, Yao WANG. Scattering by circular cavity in radially inhomogeneous medium with wave velocity variation [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 599-608.
[5]	S. A. SHEHZAD, T. HAYAT, A. ALSAEDI, B. AHMAD. Effects of thermophoresis and thermal radiation in mixed convection three-dimensional flow of Jeffrey fluid [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(5): 655-668.
[6]	T. HAYAT, M. IMTIAZ, A. ALSAEDI. Partial slip effects in flow over nonlinear stretching surface [J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1513-1526.
[7]	Xiao-jian XU;Zi-chen DENG. Variational principles for buckling and vibration of MWCNTs modeled by strain gradient theory [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1115-1128.
[8]	T. HAYAT;S. ASAD;A. ALSAEDI. Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 717-728.
[9]	Si YUAN;Yan DU;Qin-yan XING;Kang-sheng YE. Self-adaptive one-dimensional nonlinear finite element method based on element energy projection method [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1223-1232.
[10]	T. HAYAT; M.MUSTAFA; Z.IQBAL; A.ALSAEDI. Stagnation-point flow of couple stress fluid with melting heat transfer [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 167-176.
[11]	R. ANSARI;S. ROUHI;M. ARYAYI. Nanoscale finite element models for vibrations of single-walled carbon nanotubes: atomistic versus continuum [J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1187-1200.
[12]	DING Xie-ping, LEE Chin-san, YAO Jen-chih. Generalized constrained multiobjective games in locally FC-uniform spaces [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 301-309 .
[13]	ZHU Yong-an, WANG Fan, LIU Ren-huai. Thermal buckling of axisymmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 291-300 .
[14]	JIANG Xiao-hai, FAN Bao-chun, LI Hong-zhi. Numerical investigations on dynamic process of muzzle flow [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 351-360 .
[15]	WU Jiang-hao, SUN Mao. Control of flight forces and moments by flapping wings of model bumblebee [J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(3): 333-350 .

Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments