TY - JOUR
T1 - Complexiton solutions of the mKdV equation with self-consistent sources
AU - Su, Jun
AU - Xu, Wei
AU - Gao, Liang
AU - Xu, Genjiu
PY - 2010/3/29
Y1 - 2010/3/29
N2 - A class of complexiton solutions of the mKdV equation with self-consistent sources (mKdVESCSs) are presented by the generalized binary Darboux transformation (GBDT) with N arbitrary t-functions. Taking the special initial seed solution for auxiliary linear problems and the special functions of time t, the real-valued 1-complexiton solution of the mKdVESCSs is considered through the GBDT by selecting the complex spectral parameters in its Lax pair. It is important to point out that the real-valued 1-complexiton solution of the mKdVESCSs is analytical and singular. Moreover, the detailed structures of the 1-complexiton solution are given out analytically and graphically.
AB - A class of complexiton solutions of the mKdV equation with self-consistent sources (mKdVESCSs) are presented by the generalized binary Darboux transformation (GBDT) with N arbitrary t-functions. Taking the special initial seed solution for auxiliary linear problems and the special functions of time t, the real-valued 1-complexiton solution of the mKdVESCSs is considered through the GBDT by selecting the complex spectral parameters in its Lax pair. It is important to point out that the real-valued 1-complexiton solution of the mKdVESCSs is analytical and singular. Moreover, the detailed structures of the 1-complexiton solution are given out analytically and graphically.
KW - Complexitons
KW - Darboux transformation
KW - mKdV equation
KW - Self-consistent sources
UR - http://www.scopus.com/inward/record.url?scp=77649235328&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.01.041
DO - 10.1016/j.physleta.2010.01.041
M3 - 文章
AN - SCOPUS:77649235328
SN - 0375-9601
VL - 374
SP - 1457
EP - 1463
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 13-14
ER -