Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrödinger and the Lenells–Fokas equation
Two-fold integrable hierarchy of nonholonomic deformation of the derivative nonlinear Schrödinger and the Lenells–Fokas equation
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DOI：
10.1063/1.3276447
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发表时间：
2009-10
影响因子：
1.3
通讯作者：
A. Kundu
中科院分区：
文献类型：
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作者：
A. Kundu
将最近提出的Ablwitz-Kaup-Newell-Segur族的非完整形变概念推广到Kaup-Newell族。应用这种结构，我们发现了一个与变形导数非线性薛定谔(DNLS)方程有关的新的可积混合二重族，并找到了其场和扰动函数都表现出异常加速运动的精确孤子解。推广形变的思想，构造了规范相关的Chen-Lee-Liu DNLS方程的可积摄动及其孤子解。我们证明了最近提出的Lenells-Fokas(LF)方程属于变形的DNLS方程，共享加速孤子和其他不同寻常的特征。提出了LF方程和DNLS方程的高阶可积变形。
The concept of the nonholonomic deformation formulated recently for the Ablowitz-Kaup-Newell-Segur family is extended to the Kaup–Newell class. Applying this construction we discover a novel integrable mixed twofold hierarchy related to the deformed derivative nonlinear Schrodinger (DNLS) equation and found the exact soliton solutions exhibiting unusual accelerating motion for both its field and the perturbing functions. Extending the idea of deformation the integrable perturbation of the gauge related Chen–Lee–Liu DNLS equation is constructed together with its soliton solution. We show that the recently proposed Lenells–Fokas (LF) equation falls in the deformed DNLS hierarchy, sharing the accelerating soliton and other unusual features. Higher order integrable deformations of the LF and the DNLS equations are proposed.