Search Results - "Lou, S.Y."

Interactions among different types of nonlinear waves described by the Kadomtsev–Petviashvili equation by Cheng, Xue-Ping, Chen, Chun-Li, Lou, S.Y.

“…In nonlinear science, the interactions among solitons are well studied because the multiple soliton solutions can be obtained by various effective methods…”
Get full text

Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems by Lou, S.Y.

“…Dark equations are defined as some kinds of integrable couplings with some fields being homogeneously and linearly coupled to others. In this paper, dark…”
Get full text

A (1+1)-dimensional integrable system with fifth order spectral problems and four dispersion relations by Lou, S.Y.

“…•A new integrable model with fifth order spectral problems and four different dispersion relations is obtained.•Abundant soliton and breather molecules for the…”
Get full text

Linear superposition in the general heavenly equation by Lou, S.Y., Hao, Xiazhi

“…Evidently, the linear superposition principle can not be exactly established as a general principle in the presence of nonlinearity, and, at the first glance,…”
Get full text

A novel (2+1)-dimensional nonlinear Schördinger equation deformed from (1+1)-dimensional nonlinear Schrödinger equation by Jia, Man, Lou, S.Y.

“…A novel (2+1)-dimensional nonlinear Schördinger equation is constructed from (1+1)-dimensional Schördinger equation based on a deformation algorithm. The…”
Get full text

Searching for missing D’alembert waves in nonlinear system: Nizhnik-Novikov-Veselov equation by JIA, Man, LOU, S.Y.

“…In linear science, the wave motion equation with general D’Alembert wave solutions is one of the fundamental models. The D’Alembert wave is an arbitrary…”
Get full text

Integrable nonlinear Klein–Gordon systems with PT nonlocality and/or space–time exchange nonlocality by Jia, Man, Lou, S.Y.

“…In additional to the parity (P) symmetric, time reversal (T) symmetric, and PT symmetric nonlocal integrable systems, some other types of nonlocal integrable…”
Get full text

Classifications of bosonic supersymmetric third and fifth order systems by Jia, Man, Chen, Zitong, Lou, S.Y.

“…This manuscript explores the extensions and classifications of the bosonic supersymmetric systems. For the third order bosonic superfield equations, four types…”
Get full text

Lax integrable higher dimensional Burgers systems via a deformation algorithm and conservation laws by Wang, Fa-ren, Lou, S.Y.

“…How to obtain higher-dimensional integrable systems from lower ones is a hot topic deserving deeply consideration. Recently, a deformation algorithm with the…”
Get full text

Higher dimensional Degasperis–Procesi–Camassa–Holm systems by Wang, Fa-ren, Lou, S.Y.

“…The (1+1)-dimensional models can be applied to derive corresponding higher dimensional models by a deformation algorithm with the help of their conservation…”
Get full text

Symmetry study of a novel integrable supersymmetric dispersionless system by Chen, Zitong, Jia, Man, Yao, Ruoxia, Lou, S.Y.

“…A novel integrable supersymmetric dispersionless fermion system is proposed and studied by means of symmetry approach and the bosonization method, which is…”
Get full text

Bosonization of supersymmetric KdV equation by Gao, Xiao Nan, Lou, S.Y.

“…Bosonization approach to the classical supersymmetric systems is presented. By introducing the multi-fermionic parameters in the expansions of the superfields,…”
Get full text

New deformation relations and exact solutions of the high-dimensional field model by Jia, Man, Lou, S.Y.

Get full text

New deformation relations and exact solutions of the high-dimensional Φ 6 field model by Jia, Man, Lou, S.Y.

“…Exact solutions of the ( n + 1 ) -dimensional Φ 6 model are studied with the help of the Φ 4 model, which shows the solutions of the Φ 6 field in ( n + 1 )…”
Get full text

Finite symmetry transformation groups and exact solutions of Lax integrable systems by Lou, S.Y., Ma, Hong-Cai

“…In this paper, a method is developed to directly find finite symmetry transformation groups and then symmetries of Lax integrable nonlinear physical systems…”
Get full text

Nonsingular positon and complexiton solutions for the coupled KdV system by Hu, H.C., Tong, Bin, Lou, S.Y.

“…Taking the coupled KdV system as a simple example, analytical and nonsingular complexiton solutions are firstly discovered in this Letter for integrable…”
Get full text

Symmetries and exact solutions of the Sharma–Tass–Olver equation by Lian, Zeng-ju, Lou, S.Y.

“…The simple symmetry reduction procedure is repeatedly used to obtain infinitely many symmetries as well as exact solutions of the Sharma–Tass–Olver (STO)…”
Get full text

Conservation laws of equation family with same Kac–Moody–Virasoro symmetry by Jia, Man, Gao, Yuan, Lou, S.Y.

“…We construct conservation laws of the equation family which possesses the same infinite dimensional Kac–Moody–Virasoro symmetry algebra as the…”
Get full text

New interaction solutions of multiply periodic, quasi-periodic and non-periodic waves for the ( n + 1)-dimensional double sine-Gordon equations by Hu, H.C., Lou, S.Y., Chow, K.W.

“…New exact solutions with built-in arbitrary functions for the ( n + 1)-dimensional double sine-Gordon equation are studied by means of auxiliary solutions of…”
Get full text

Propagating wave patterns and “peakons” of the Davey–Stewartson system by Chow, K.W., Lou, S.Y.

“…Two exact, doubly periodic, propagating wave patterns of the Davey–Stewartson system are computed analytically by a special separation of variables procedure…”
Get full text