Multiple soliton solutions and symmetry analysis of a nonlocal coupled KP system
Multiple soliton solutions and symmetry analysis of a nonlocal coupled KP system
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DOI：
10.1088/1572-9494/ace156
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发表时间：
2023-06
影响因子：
3.1
通讯作者：
Xi-zhong Liu;Jie Li;Jun Yu
中科院分区：
文献类型：
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作者：
Xi-zhong Liu;Jie Li;Jun Yu
从局域耦合Kadomtsev-Petviashivili（cKP）系统出发，构造了一个具有移宇称（P sx）和延迟时间反转（T d）对称性的非局域耦合Kadomtsev-Petviashivili（ncKP）系统.通过引入新的因变量，使其在P_xT_xT_xdd的作用下具有确定的奇偶性，将ncKP转化为局部系统.通过这种方法，可以从cKP系统的N个孤立子解生成ncKPI系统的多个偶数个孤立子解，通过选择适当的参数，这些孤立子解成为呼吸子.标准的Lie对称性方法也适用于ncKPII系统，得到其对称性约化的解决方案。
A nonlocal coupled Kadomtsev–Petviashivili (ncKP) system with shifted parity ( Pˆsx ) and delayed time reversal ( Tˆd ) symmetries is generated from the local coupled Kadomtsev–Petviashivili (cKP) system. By introducing new dependent variables which have determined parities under the action of PˆsxTˆdd , the ncKP is transformed to a local system. Through this way, multiple even number of soliton solutions of the ncKPI system are generated from N-soliton solutions of the cKP system, which become breathers by choosing appropriate parameters. The standard Lie symmetry method is also applied on the ncKPII system to get its symmetry reduction solutions.