Found 28 Documents (Results 1–28)
Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation. (English) Zbl 1443.35136
MSC:
35Q53
Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations. (English) Zbl 1415.35237
New exact solutions of \((2+1)\)-dimensional potential Kadomtsev-Petviashvili equation. (Chinese. English summary) Zbl 1389.35124
On periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 1372.35249
Soliton and periodic solutions for time-dependent coefficient non-linear equation. (English) Zbl 1367.35060
Application of new generalized \((G'/G)\)-expansion method to the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1357.35077
Shock wave solution of the variable coefficient nonlinear partial differential equations. (English) Zbl 1386.35370
Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation. (English) Zbl 1349.35007
On the variational interpretation of the discrete KP equation. (English) Zbl 1351.37239
Bobenko, Alexander I. (ed.), Advances in discrete differential geometry. Berlin: Springer (ISBN 978-3-662-50446-8/hbk; 978-3-662-50447-5/ebook). 379-405 (2016).
On the dispersionless Kadomtsev-Petviashvili equation with arbitrary nonlinearity and dimensionality: exact solutions, longtime asymptotics of the Cauchy problem, wave breaking and shocks. (English) Zbl 1358.37108
Reviewer: Evgeniy Panov (Novgorod)
Binary Darboux transformation for a variable-coefficient nonisospectral modified Kadomtsev-Petviashvili equation with symbolic computation. (English) Zbl 1351.37244
MSC:
37K10
A generalized Hirota-Satsuma coupled KdV system: Darboux transformations and reductions. (English) Zbl 1348.35225
Reviewer: Nakazono Nobutaka (Sydney)
Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. (English) Zbl 1342.35305
Nonlocal symmetries and interaction solutions for potential Kadomtsev-Petviashvili equation. (English) Zbl 1335.35221
Hasse-Schmidt derivations on Grassmann algebras. With applications to vertex operators. (English) Zbl 1350.15001
IMPA Monographs 4. Cham: Springer (ISBN 978-3-319-31841-7/hbk; 978-3-319-31842-4/ebook). xxiv, 195 p. (2016).
Reviewer: Rabe von Randow (Bonn)
On the propagation of regularity of solutions of the Kadomtsev-Petviashvili equation. (English) Zbl 1346.35181
Reviewer: Aleksey Kostenko (Donetsk)
Travelling solitary wave solutions for stochastic Kadomtsev-Petviashvili equation. (English) Zbl 1335.65007
Travelling waves for the nonlinear Schrödinger equation with general nonlinearity in dimension two. (English) Zbl 1336.35318
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