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Integrable discretisations of Volterra system with multiple branches of dispersion
Modern Physics Letters B ( IF 1.8 ) Pub Date : 2020-12-08 , DOI: 10.1142/s0217984921500974 Corina N. Babalic 1
Modern Physics Letters B ( IF 1.8 ) Pub Date : 2020-12-08 , DOI: 10.1142/s0217984921500974 Corina N. Babalic 1
Affiliation
Two integrable discretizations of general differential-difference coupled Volterra equations with multiple branches of dispersion are constructed using the Hirota bilinear formalism. The multi-soliton solutions are built and discussed for both discretizations and the nonlinear forms of completely discretized Volterra system are recovered.
中文翻译:
具有多个色散分支的 Volterra 系统的可积分离散化
使用广田双线性形式构造了具有多个色散分支的一般微分差分耦合沃尔泰拉方程的两个可积分离散化。建立并讨论了离散化的多孤子解决方案,并恢复了完全离散化的 Volterra 系统的非线性形式。
更新日期:2020-12-08
中文翻译:
具有多个色散分支的 Volterra 系统的可积分离散化
使用广田双线性形式构造了具有多个色散分支的一般微分差分耦合沃尔泰拉方程的两个可积分离散化。建立并讨论了离散化的多孤子解决方案,并恢复了完全离散化的 Volterra 系统的非线性形式。