13 citations · 14 across the 4 of their papers we have counts for
7 papers
Analyzing the relationship between infinite symmetries and -soliton solutions in the AKNS system
Xiazhi Hao, S. Y. Lou
This paper investigates the algebraic reduction of the infinite-dimensional symmetries of the Ablowitz-Kaup-Newell-Segur system when restricted to multi-soliton solution. By system…
Exploring the depths of symmetry in the mKdV equation: physical interpretations and multi-wave solutions
Xiazhi Hao, S. Y. Lou
This manuscript embarks on an in-depth exploration of the modified Korteweg-de Vries (mKdV) equation, with a particular emphasis on unraveling the intricate structure of its infini…
Higher dimensional integrable deformations of the modified KdV equation
Xiazhi Hao, S. Y. Lou
The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of integrability. The well-known mo…
Decomposition solutions and Bäcklund transformations of the BKP and CKP equations
Xiazhi Hao, S. Y. Lou
In this paper, we define the modified formal variable separation approach and show how it determines, in a remarkably simple manner, the decomposition solutions, the Bäcklund trans…
Multi-component decompositions, linear superpositions, and new nonlinear integrable coupled KdV-type systems
Xiazhi Hao, S. Y. Lou
The existence of decompositions of the nonlinear integrable systems not only permits us to establish so-called linear superposition solutions but also to derive new nonlinear integ…
Linear superposition in the general heavenly equation
S. Y. Lou, Xiazhi Hao
Evidently, the linear superposition principle can not be exactly established as a general principle in the presence of nonlinearity, and, at the first glance, there is no expectati…