Concepedia

Grammian Solutions to a Variable-Coefficient KP Equation

Ye Ling-Ya, Yi-neng Lv, Yi Zhang, Huiping Jin

Chinese Physics Letters · 2008 · 25 citations · 11 references

Concepts

Grammian SolutionsPfaffian Derivative FormulaeNonlinear EquationIntegrable SystemVariable-coefficient Kadomtsev–petviashviliGrammian FormNonlinear Functional Analysis

Abstract

Solutions in the Grammian form for a variable-coefficient Kadomtsev–Petviashvili (KP) equation which has the Wronskian solutions are derived by means of Pfaffian derivative formulae.

References

11

Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

Ryogo Hirota · Physical Review Letters · 1971 · 3K citations

Physics, Nonlinear Wave Propagation, Topological Soliton +5

Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique

N. C. Freeman, J. J. C. Nimmo · Physics Letters A · 1983 · 472 citations

Soliton Solutions, Kadomtsev-petviashvili Equations, Topological Soliton +4

The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form

J. J. C. Nimmo, N. C. Freeman · Journal of Physics A Mathematical and General · 1984 · 122 citations

Topological Soliton, Wronskian Formulation, Backlund Transformation +8

A Bilinear<i>N</i>-Soliton Formula for the KP Equation

Akira Nakamura · Journal of the Physical Society of Japan · 1989 · 96 citations

Periodic Waves, Nonlinear Wave Propagation, Topological Soliton +5

Painlevé Analysis and the Complete Integrability of a Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation

Peter A. Clarkson · IMA Journal of Applied Mathematics · 1990 · 62 citations

Numerical Analysis, Engineering, Generalized Kadomtsev-petviashvili +9