We numerically investigate the breathing dynamics induced by collision between bright solitons in a binary dipolar Bose–Einstein condensates, whose dipole–dipole interaction and contact interaction are attractive. W...We numerically investigate the breathing dynamics induced by collision between bright solitons in a binary dipolar Bose–Einstein condensates, whose dipole–dipole interaction and contact interaction are attractive. We identify three special breathing structures, such as snakelike special breathing structure, mixed breathing structure, and divide breathing structure.The characteristics of these breathing structures can be described by breathing frequency ?, maximum breathing amplitude A and lifetime τ, which can be manipulated by atomic number Ni and interspecies scattering length a12. Meanwhile, the above breathing structures can realize the process of quasi-transition with a reasonable Ni and a12. Additionally, the collision of two special breathing structures also can bring more abundant breathing dynamics. Our results provide a reference for the study of soliton interactions and deepen the understanding of soliton properties in a binary dipolar Bose–Einstein condensates.展开更多
We study the properties of breather interactions in nonlinear Kerr media with self-steepening and space-time correction and with either self-focusing or self-defocusing nonlinearity,and present a new family of exact b...We study the properties of breather interactions in nonlinear Kerr media with self-steepening and space-time correction and with either self-focusing or self-defocusing nonlinearity,and present a new family of exact breather solutions via the Darboux transformation with a special-designed quadratic spectral parameter.In contrast to the previous results of the nonlinear Schrodinger equation(NLSE)hierarchy,we show that the relative phase of colliding breathers has a significant effect on the collision manifestation.In particular,only the out-of-phase interactions can generate small amplitude waves at the collision center,which are analogous to the NLSE superregular breathers.Our results will deepen our understanding of the properties of breather interactions and they will offer the possibility of experimental observations of super-regular breather dynamics in systems with self-steepening and space-time correction.展开更多
We study the one-dimensional asymmetric simple exclusion process （ASEP） with generic open boundaries （in- cluding current-counting deformation）, and obtain the exact solutions of this ASEP via the off-diagonal Bet...We study the one-dimensional asymmetric simple exclusion process （ASEP） with generic open boundaries （in- cluding current-counting deformation）, and obtain the exact solutions of this ASEP via the off-diagonal Bethe ansatz method. In particular, numerical results for the small size asymmetric simple exclusion process indicate that the spectrum obtained by the Bethe ansatz equations is complete. Moreover, we present the eigenvalue of the totally asymmetric exclusion process and the corresponding Bethe ansatz equations.展开更多
We study the interaction between breather and N-order rogue waves in a nonlinear optical fiber. The impacts of the relative phase and the interaction distance between breathers and rogue waves are discussed in detail....We study the interaction between breather and N-order rogue waves in a nonlinear optical fiber. The impacts of the relative phase and the interaction distance between breathers and rogue waves are discussed in detail. Specifically, the breather can reduce the maximum hump value of high-order rogue waves greatly in the eases of nonzero relative phase or nonzero interaction distance. The characteristic of exclusion between breathers and rogue waves is described qualitatively in the situation of different interaction distances, which can be used to change the temporal-spatial distribution of rogue waves. Their interaction properties are characterized by the trajectory of localized waves＇ valleys and humps. It is shown that the interaction changes the dynamical evolution trajectory of rogue waves and breathers. These results provide some possible ways to control high-order rogue waves.展开更多
Recently,a report from Elite Readers suggested that a strange phenomenon of ’square-shaped waves’ had occurred at the beaches of the Isle of Rhe in the Bay of Biscay.Based on the hydrological and geological data of ...Recently,a report from Elite Readers suggested that a strange phenomenon of ’square-shaped waves’ had occurred at the beaches of the Isle of Rhe in the Bay of Biscay.Based on the hydrological and geological data of the Bay of Biscay,we find that the special phenomenon is closely related to a solitary wave that can be described by the shallow water wave equation.We discuss the formation mechanisms of the square-shaped waves by the Kadomtsev-Petviashvili equation.The combination of exact solutions and actual condition provides the simulated initial state.We then reproduce a square-shaped structure by a numerical method and obtain the result consistent with the observed picture from media.Our work enriches public understanding of strange water waves and has great significance for tourism development and shipping transportation.展开更多
With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultane...With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form.This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 12247103, 12275213, and 12247110)。
文摘We numerically investigate the breathing dynamics induced by collision between bright solitons in a binary dipolar Bose–Einstein condensates, whose dipole–dipole interaction and contact interaction are attractive. We identify three special breathing structures, such as snakelike special breathing structure, mixed breathing structure, and divide breathing structure.The characteristics of these breathing structures can be described by breathing frequency ?, maximum breathing amplitude A and lifetime τ, which can be manipulated by atomic number Ni and interspecies scattering length a12. Meanwhile, the above breathing structures can realize the process of quasi-transition with a reasonable Ni and a12. Additionally, the collision of two special breathing structures also can bring more abundant breathing dynamics. Our results provide a reference for the study of soliton interactions and deepen the understanding of soliton properties in a binary dipolar Bose–Einstein condensates.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11705145,11947301.11434013,and 11425522)the Major Basic Research Program of Natural Science of Shaanxi Province(Grant Nos.2017KCT-12 and 2017ZDJC-32)the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2018JQ1003).
文摘We study the properties of breather interactions in nonlinear Kerr media with self-steepening and space-time correction and with either self-focusing or self-defocusing nonlinearity,and present a new family of exact breather solutions via the Darboux transformation with a special-designed quadratic spectral parameter.In contrast to the previous results of the nonlinear Schrodinger equation(NLSE)hierarchy,we show that the relative phase of colliding breathers has a significant effect on the collision manifestation.In particular,only the out-of-phase interactions can generate small amplitude waves at the collision center,which are analogous to the NLSE superregular breathers.Our results will deepen our understanding of the properties of breather interactions and they will offer the possibility of experimental observations of super-regular breather dynamics in systems with self-steepening and space-time correction.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11375141,11475135,11434013 and 11425522the Ministry of Education Doctoral Program Fund under Grant No 20126101110004the Northwest University Graduate Student Innovation Fund under Grant No YZZ14104
文摘We study the one-dimensional asymmetric simple exclusion process （ASEP） with generic open boundaries （in- cluding current-counting deformation）, and obtain the exact solutions of this ASEP via the off-diagonal Bethe ansatz method. In particular, numerical results for the small size asymmetric simple exclusion process indicate that the spectrum obtained by the Bethe ansatz equations is complete. Moreover, we present the eigenvalue of the totally asymmetric exclusion process and the corresponding Bethe ansatz equations.
基金Supported by the National Natural Science Foundation of China under Grant No 11475135the Guangxi Provincial Education Department Research Project of China under Grant No 2017KY0776+1 种基金the Shaanxi Provincial Science Association of Colleges and Universities of China under Grant No 20160216the Special Research Project of Education Department of Shaanxi Provincial Government under Grant No 16JK1763
文摘We study the interaction between breather and N-order rogue waves in a nonlinear optical fiber. The impacts of the relative phase and the interaction distance between breathers and rogue waves are discussed in detail. Specifically, the breather can reduce the maximum hump value of high-order rogue waves greatly in the eases of nonzero relative phase or nonzero interaction distance. The characteristic of exclusion between breathers and rogue waves is described qualitatively in the situation of different interaction distances, which can be used to change the temporal-spatial distribution of rogue waves. Their interaction properties are characterized by the trajectory of localized waves＇ valleys and humps. It is shown that the interaction changes the dynamical evolution trajectory of rogue waves and breathers. These results provide some possible ways to control high-order rogue waves.
基金Supported by the National Natural Science Foundation of China under Grant Nos 11875220 and 11425522
文摘Recently,a report from Elite Readers suggested that a strange phenomenon of ’square-shaped waves’ had occurred at the beaches of the Isle of Rhe in the Bay of Biscay.Based on the hydrological and geological data of the Bay of Biscay,we find that the special phenomenon is closely related to a solitary wave that can be described by the shallow water wave equation.We discuss the formation mechanisms of the square-shaped waves by the Kadomtsev-Petviashvili equation.The combination of exact solutions and actual condition provides the simulated initial state.We then reproduce a square-shaped structure by a numerical method and obtain the result consistent with the observed picture from media.Our work enriches public understanding of strange water waves and has great significance for tourism development and shipping transportation.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 11075126,11047179,and 11031005Australian Research Council and the Northwest University Graduate Cross-Discipline Fund (10YJC15) are gratefully acknowledged
文摘With the help of the Drinfeld twist or factorizing F-matrix for the eight-vertex solid-on-solid(SOS) model,we find that in the F-basis provided by the twist the two sets of pseudo-particle creation operators simultaneously take completely symmetric and polarization free form.This allows us to obtain the explicit and completely symmetric expressions of the two sets of Bethe states of the model.
