CAJ | 학술논문

从包含五阶非线性项的扩展非线性薛定谔方程出发,采用分布傅里叶算法,数值模拟了五阶非线性作用下二阶孤子对的波形演化.结果表明,正、负五阶非线性对二阶孤子对的作用大不相同.负五阶非线性作用使二阶孤子对传输图形得到一定程度的改善,而正五阶非线性作用则使二阶孤子对传输图形恶化.适当选取负五阶非线性参数值,可以消除二阶孤子对间的衍生孤子,有效的抑制孤子间的相互作用.
종포함오계비선성항적확전비선성설정악방정출발,채용분포부리협산법,수치모의료오계비선성작용하이계고자대적파형연화.결과표명,정、부오계비선성대이계고자대적작용대불상동.부오계비선성작용사이계고자대전수도형득도일정정도적개선,이정오계비선성작용칙사이계고자대전수도형악화.괄당선취부오계비선성삼수치,가이소제이계고자대간적연생고자,유효적억제고자간적상호작용.
Using the extended nonlinear Schrodinger equations including quintic nonlinearity and the split-step Fourier algorithm,the shape evolution of the second-order soliton pair is numerically simulated for different parameters of positive and negative quintic nonlinearity.The results show that the interaction between the second-order solitons with positive quintic nonlinearity is much different from that with negative quintic nonlinearity.The later improve the shape evolution of the second-order soliton pair in the certain degree,but the shape of the former is deteriorated.The numerical results find the periodical yielding smaller solitons between two second-order solitons may be well restrain under appropriate parameter of the negative quintic nonlinearity.