Concepedia

Bilinear Bäcklund transformation, soliton and periodic wave solutions for a $$\varvec{(3 + 1)}$$ ( 3 + 1 ) -dimensional variable-coefficient generalized shallow water wave equation

Qian-Min Huang, Yi-Tian Gao, Shu-Liang Jia, Ya-Le Wang, Gao-Fu Deng

Nonlinear Dynamics · 2016 · 97 citations · 31 references

DOI

Concepts

References

31

Solitons and Infinite Dimensional Lie Algebras

Michio Jimbo, Tetsuji Miwa · Publications of the Research Institute for Mathematical Sciences · 1983 · 1.5K citations · Full text

, , +12

Exact envelope-soliton solutions of a nonlinear wave equation

Ryogo Hirota · Journal of Mathematical Physics · 1973 · 1.4K citations

, , +16

Exponential Polynomials

E. T. Bell · Annals of Mathematics · 1934 · 731 citations

Hierarchies of Coupled Soliton Equations. I

Ryogo Hirota, Yasuhiro Ohta · Journal of the Physical Society of Japan · 1991 · 264 citations

, , +7

Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

Mohammad Mirzazadeh, Mostafa Eslami, Essaid Zerrad et al. · Nonlinear Dynamics · 2015 · 240 citations

, , +17