Wu, QX , NINGBO NORMAL COLL, INST MODERN PHYS, NINGBO 315211, PEOPLES R CHINA.
部门归属:
ACAD SINICA, INST THEORET PHYS, BEIJING 100080, PEOPLES R CHINA
英文摘要:
In this letter, we paint out that if there is a (2+1)-dimensional extension of the KdV equation, then we can get a corresponding (2+1)-dimensional sine-Gordon (SG) or sinh-Gordon (SHG) extension which is related to the negative flow equation of the KdV extension. The (2+1)-dimensional SG (or SHG) extensions related to the KP, breaking soliton and Nizhnik-Novikov-Veselov equations are known in literature while the (2+1)-dimensional SHG extension related to the negative how equation of the Boiti-Leon-Manna-Pempinelli (BLMP) equation is obtained in this letter thanks to the Schwartz form of the BLMP equation being conformal invariant.
