Concepedia

Nonlocal symmetry and exact solutions of the (2+1)- dimensional breaking soliton equation

Wenguang Cheng, Biao Li, Yong Chen

Communications in Nonlinear Science and Numerical Simulation · 2015 · 48 citations · 24 references

DOI

Concepts

References

24

Nonlinear evolution equations solvable by the inverse spectral transform.—I

F. Calogero, A. Degasperis · ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B · 1976 · 295 citations

, , +12

Integration of the soliton hierarchy with self-consistent sources

Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin · Journal of Mathematical Physics · 2000 · 212 citations

, , +11

Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and B�cklund transformations

I. S. Krasil’shchik, A. M. Vinogradov · Acta Applicandae Mathematicae · 1989 · 208 citations

, , +17

Nonlocal symmetries related to Bäcklund transformation and their applications

Sen‐Yue Lou, Xiaorui Hu, Yong Chen · Journal of Physics A Mathematical and Theoretical · 2012 · 203 citations

, , +12

Explicit solutions from eigenfunction symmetry of the Korteweg–de Vries equation

Xiaorui Hu, Sen‐Yue Lou, Yong Chen · Physical Review E · 2012 · 180 citations

, , +15