34 citations · 58 across the 5 of their papers we have counts for
5 papers
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…
Deformation Conjecture: Deforming Lower Dimensional Integrable Systems to Higher Dimensional Ones by Using Conservation Laws
S. Y. Lou, Xia-zhi Hao, Man Jia
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructe…
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…
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…
Integrable nonlinear Klein-Gordon systems with nonlocality and/or space-time exchange nonlocality
Man Jia, S. Y. Lou
In additional to the parity () symmetric, time reversal () symmetric, and symmetric nonlocal integrable systems, some other types of nonloc…