In this note,it is shown that the revision of the Kaup Newell's works on IST for DNLS equation is onlyavailable in the case of solving the bright one-soliton solution to the equation.An example is taken to illustr...In this note,it is shown that the revision of the Kaup Newell's works on IST for DNLS equation is onlyavailable in the case of solving the bright one-soliton solution to the equation.An example is taken to illustrate ourpoint of view.展开更多
In this paper, we give the Lax pair and construct the Darboux transformation of the Kundu-DNLS equation. Furthermore, the rogue wave solutions of the Kundu-DNLS equation are derived by using the Taylor expansion of th...In this paper, we give the Lax pair and construct the Darboux transformation of the Kundu-DNLS equation. Furthermore, the rogue wave solutions of the Kundu-DNLS equation are derived by using the Taylor expansion of the breather solution. What's more, the triangular and the circular patterns of the third rouge solution are displayed.展开更多
基金supported by the National Natural Science Foundation of China(21476228,21676262)the Key Research Program of Frontier Sciences,CAS(QYZDB-SSW-JSC040)~~
基金the Postdoctoral Fund of Huazhong University of Science and Technology under Grant No.0128011006
文摘In this note,it is shown that the revision of the Kaup Newell's works on IST for DNLS equation is onlyavailable in the case of solving the bright one-soliton solution to the equation.An example is taken to illustrate ourpoint of view.
文摘In this paper, we give the Lax pair and construct the Darboux transformation of the Kundu-DNLS equation. Furthermore, the rogue wave solutions of the Kundu-DNLS equation are derived by using the Taylor expansion of the breather solution. What's more, the triangular and the circular patterns of the third rouge solution are displayed.