Concepedia

N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation

Yuan Shen, Bo Tian, Chong-Dong Cheng, Tian-Yu Zhou

Nonlinear Dynamics · 2023 · 58 citations · 47 references

DOI

Concepts

References

47

XLI. <i>On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves</i>

D. J. Korteweg, G. de Vries · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1895 · 4.1K citations

, , +5

Modulation instability and periodic solutions of the nonlinear Schrödinger equation

Nail Akhmediev, V. I. Korneev · Theoretical and Mathematical Physics · 1986 · 897 citations

, , +15

The Perturbed Plane‐Wave Solutions of the Cubic Schrödinger Equation

Yan‐Chow Ma · Studies in Applied Mathematics · 1979 · 814 citations

, , +12

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

Wen‐Xiu Ma, Yuan Zhou · Journal of Differential Equations · 2017 · 756 citations

, , +7

Two-dimensional lumps in nonlinear dispersive systems

Junkichi Satsuma, Mark J. Ablowitz · Journal of Mathematical Physics · 1979 · 703 citations

, , +15