CAJ | 학술논문

求出高阶 Hirota方程在可积条件下的一种精确呼吸子解，并在解的基础上得到 Hirota方程的一种怪波解。从怪波解的形式和图形中深刻认识到怪波的两个特征---时空局域性和高能量特点，认识到怪波产生的物理机制---平面波和其他波的叠加。利用分布傅立叶方法数值研究了怪波在考虑自频移和拉曼增益时的传输特性，自频移使怪波中心发生偏移，拉曼增益使怪波分裂得更快；数值模拟了怪波之间的相互作用特点---随着怪波之间距离的减小，怪波将合二为一，成为一束怪波，之后再分裂，并分析了拉曼增益和自频移对怪波相互作用的影响。
구출고계 Hirota방정재가적조건하적일충정학호흡자해，병재해적기출상득도 Hirota방정적일충괴파해。종괴파해적형식화도형중심각인식도괴파적량개특정---시공국역성화고능량특점，인식도괴파산생적물리궤제---평면파화기타파적첩가。이용분포부립협방법수치연구료괴파재고필자빈이화랍만증익시적전수특성，자빈이사괴파중심발생편이，랍만증익사괴파분렬득경쾌；수치모의료괴파지간적상호작용특점---수착괴파지간거리적감소，괴파장합이위일，성위일속괴파，지후재분렬，병분석료랍만증익화자빈이대괴파상호작용적영향。
A breather soliton solution of the higher-order Hirota equation has been given under the integrable condition,and the rogue solution of Hirota equation is obtained on the basis of the breather solion solutions,which is helpful to understand the characteristics and the physical reason of rogue wave.By the distribution Fourier method,the transmission characteristics of rogue wave was studied in considering the frequency shift and considering the Raman gain,and the interaction between rogue wave was analyzed in this paper.