Exact Solutions of Hermitian Symmetric Space Derivative Nonlinear Schrodinger Equations

被引:5
作者
Saleem, Usman [1 ]
Mahmood-ul Hassan [1 ]
机构
[1] Univ Punjab, Dept Phys, Quaid E Azam Campus, Lahore 54590, Pakistan
关键词
QUASIDETERMINANT SOLUTIONS; DARBOUX TRANSFORMATIONS; MULTISOLITON SOLUTIONS; MAGNETIC-FIELD; WAVES; DETERMINANTS; MODULATION; IDENTITIES; HIERARCHY; SYSTEMS;
D O I
10.7566/JPSJ.86.064002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A generalized matrix Darboux transformation (MDT) is constructed for the HSS-DNLSEs. Using the MDT, exact expressions of multiple solutions are constructed in the form of quasideterminants formula. By using particular solutions to the associated Lax pair, explicit expressions for one-and two-soliton solutions for different HSS-DNLSEs are computed. For each HSS-DNLSE we obtain constant, periodic and soliton solutions.
引用
收藏
页数:8
相关论文
共 49 条
[1]   NON-LINEAR ASYMMETRIC SELF-PHASE MODULATION AND SELF-STEEPENING OF PULSES IN LONG OPTICAL-WAVEGUIDES [J].
ANDERSON, D ;
LISAK, M .
PHYSICAL REVIEW A, 1983, 27 (03) :1393-1398
[2]  
[Anonymous], 1969, FDN DIFFERENTIAL GEO
[3]   Soliton approach to magnetic holes [J].
Baumgärtel, K .
JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 1999, 104 (A12) :28295-28308
[4]   INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD [J].
CHEN, HH ;
LEE, YC ;
LIU, CS .
PHYSICA SCRIPTA, 1979, 20 (3-4) :490-492
[5]  
CIESLINSKI J, 1995, J MATH PHYS, V36, P5670, DOI 10.1063/1.531282
[6]  
Crumey A. D. W. B., IMPERIALTP87882
[7]   KAC-MOODY SYMMETRY OF GENERALIZED NONLINEAR SCHRODINGER-EQUATIONS [J].
CRUMEY, ADWB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (02) :167-179
[9]   From AKNS to derivative NLS hierarchies via deformations of associative products [J].
Dimakis, Aristophanes ;
Mueller-Hoissen, Folkert .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (45) :14015-14033
[10]  
Etingof P, 1997, MATH RES LETT, V4, P413