For a multi-component Maccari system with two spatial dimensions,nondegenerate one-soliton and two-soliton solutions are obtained with the bilinear method.It can be seen by drawing the spatial graphs of nondegenerate ...For a multi-component Maccari system with two spatial dimensions,nondegenerate one-soliton and two-soliton solutions are obtained with the bilinear method.It can be seen by drawing the spatial graphs of nondegenerate solitons that the real component of the system shows a cross-shaped structure,while the two solitons of the complex component show a multi-solitoff structure.At the same time,the asymptotic analysis of the interaction behavior of the two solitons is conducted,and it is found that under partially nondegenerate conditions,the real and complex components of the system experience elastic collision and inelastic collision,respectively.展开更多
Recently, research of solitons in Bose-Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross-Pitaevskii equations describing spin-orbit coupled spin-1 Bose-Einstein...Recently, research of solitons in Bose-Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross-Pitaevskii equations describing spin-orbit coupled spin-1 Bose-Einstein condensates. To begin with, we show the analytical relation between different types of one-dimensional spin-orbit coupling and Zeeman effect. In addition, we find a transformation that can simplify the three-component Gross-Pitaevskii equations with spin-orbit coupling into the nonlinear Schrodinger equation. The abundant stripe phase and dynamic characteristics of the system are investigated.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12375006)。
文摘For a multi-component Maccari system with two spatial dimensions,nondegenerate one-soliton and two-soliton solutions are obtained with the bilinear method.It can be seen by drawing the spatial graphs of nondegenerate solitons that the real component of the system shows a cross-shaped structure,while the two solitons of the complex component show a multi-solitoff structure.At the same time,the asymptotic analysis of the interaction behavior of the two solitons is conducted,and it is found that under partially nondegenerate conditions,the real and complex components of the system experience elastic collision and inelastic collision,respectively.
基金supported by the National Natural Science Foundation of China(Grant Nos.11835011 and 12147115)。
文摘Recently, research of solitons in Bose-Einstein condensates has become a popular topic. Here, we mainly study exact analytical solutions of Gross-Pitaevskii equations describing spin-orbit coupled spin-1 Bose-Einstein condensates. To begin with, we show the analytical relation between different types of one-dimensional spin-orbit coupling and Zeeman effect. In addition, we find a transformation that can simplify the three-component Gross-Pitaevskii equations with spin-orbit coupling into the nonlinear Schrodinger equation. The abundant stripe phase and dynamic characteristics of the system are investigated.
