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Similarity Solutions of the Kadomtsev-Petviashvili Equation

https://doi.org/10.1143/jpsj.51.2350

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-6394-4openalex-snapshot

Similarity Methods for Differential Equations

inferredcites →https://doi.org/10.1016/0375-9601(74)90826-3openalex-snapshot

On invariant solutions of the Korteweg-deVries equation

inferredcites →https://doi.org/10.1063/1.1666400openalex-snapshot

Exact N -soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

inferredcites →https://doi.org/10.1063/1.524548openalex-snapshot

A connection between nonlinear evolution equations and ordinary differential equations of P-type. II

inferredcites →https://doi.org/10.1093/imamat/19.3.343openalex-snapshot

Continuous Transformations and Differential Equations

inferredcites →https://doi.org/10.1103/physrevlett.38.1103openalex-snapshot

Exact Linearization of a Painlevé Transcendent

inferredcites →https://doi.org/10.1143/jpsj.32.1403openalex-snapshot

The Exact N-Soliton Solution of the Korteweg-de Vries Equation

inferredcites →https://doi.org/10.1143/jpsj.40.286openalex-snapshot

N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4743848openalex-extracted

Novel Rogue-Like Parabolic-Solitons Of The Kadomtsev-Petviashvili Equation

inferred← citeshttps://doi.org/10.1002/sapm19959511openalex-snapshot

Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation

inferred← citeshttps://doi.org/10.1007/978-3-642-84039-5_7openalex-snapshot

Examples of Nonclassical Similarity Reductions

inferred← citeshttps://doi.org/10.1007/bf02845695openalex-snapshot

Solitons and their resonances on two-dimensional superfluid films

inferred← citeshttps://doi.org/10.1007/s12043-024-02887-zopenalex-snapshot

Lie symmetry reductions and exact solutions of Kadomtsev–Petviashvili equation

inferred← citeshttps://doi.org/10.1016/0167-2789(91)90148-3openalex-snapshot

Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation

inferred← citeshttps://doi.org/10.1016/j.camwa.2017.07.034openalex-snapshot

Some more solutions of Kadomtsev–Petviashvili equation

inferred← citeshttps://doi.org/10.1016/j.chaos.2003.09.027openalex-snapshot

New solutions of the 2+1 dimensional BKP equation through symmetry analysis: source and sink solutions, creation and diffusion of breathers…☆

inferred← citeshttps://doi.org/10.1016/s0960-0779(02)00577-5openalex-snapshot

Soliton-like structures and the connection between the Bq and KP equations

inferred← citeshttps://doi.org/10.1016/s0960-0779(03)00094-8openalex-snapshot

Interaction processes with the radiation for the KP equation, through symmetry transformations

inferred← citeshttps://doi.org/10.1016/s0960-0779(03)00393-xopenalex-snapshot

Source and sink solution, finite time blow-up, diffusion, creation and annihilation processes in the Davey–Stewartson equation

inferred← citeshttps://doi.org/10.1063/1.1603958openalex-snapshot

The fourth Painlevé equation and associated special polynomials

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When nonautonomous equations are equivalent to autonomopus ones

inferred← citeshttps://doi.org/10.1088/0031-8949/29/1/001openalex-snapshot

Lie Symmetry, Rational Solution and Bilinear Operator Structure for One and Two Dimensional Nonlinear Equations

inferred← citeshttps://doi.org/10.1088/0305-4470/16/9/001openalex-snapshot

Lie symmetry, rational solution and bilinear operator structure for one- and two-dimensional nonlinear equations

inferred← citeshttps://doi.org/10.1088/0305-4470/39/24/006openalex-snapshot

On conserved densities and asymptotic behaviour for the potential Kadomtsev–Petviashvili equation

inferred← citeshttps://doi.org/10.1090/conm/724/14594openalex-snapshot

Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study

inferred← citeshttps://doi.org/10.1111/1467-9590.00044openalex-snapshot

Bäcklund Transformations and Solution Hierarchies for the Third Painlevé Equation

inferred← citeshttps://doi.org/10.1134/s0965542514010151openalex-snapshot

Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation

inferred← citeshttps://doi.org/10.1143/jpsj.51.3720openalex-snapshot

Two-Soliton Resonant Interactions in One Spatial Dimension: Solutions of Boussinesq Type Equation

inferred← citeshttps://doi.org/10.1143/jpsj.52.2315openalex-snapshot

Similarity Reduction of Modified Kadomtsev-Petviashvili Equation

inferred← citeshttps://doi.org/10.1143/jpsj.52.4059openalex-snapshot

Derivation of Nonlinear Partial Differential Equations Reducible to the Painleve Equations

inferred← citeshttps://doi.org/10.1143/jpsj.53.79openalex-snapshot

Invariant Transformation of the Kadomtsev-Petviashvili Equation

inferred← citeshttps://doi.org/10.1143/jpsj.56.1327openalex-snapshot

Similarity Reductions of the One and Two Dimensional Benjamin-Ono Equations

inferred← citeshttps://doi.org/10.1143/jpsj.58.3029openalex-snapshot

Two-Dimensional Multisoliton Solutions: Periodic Soliton Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion

inferred← citeshttps://doi.org/10.1143/jpsj.59.4198openalex-snapshot

Addendum to the Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation

inferred← citeshttps://doi.org/10.1143/jpsj.59.843openalex-snapshot

The Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation

inferred← citeshttps://doi.org/10.1143/jpsj.60.2791openalex-snapshot

Rational Growing Mode: Exact Solutions tothe Boussinesq Equation

inferred← citeshttps://doi.org/10.1143/jpsj.66.1943openalex-snapshot

Periodic Wave Solutions as Imbricate Series of Rational Growing Modes: Solutions to the Boussinesq Equation

inferred← citeshttps://doi.org/10.1143/jpsj.69.1307openalex-snapshot

New Exact Solutions to the Fujita's Equation

inferred← citeshttps://doi.org/10.2991/jnmp.1995.2.3-4.19openalex-snapshot

Similarity Reductions of the Zabolotskaya-Khokhlov Equation with a Dissipative Term

inferred← citeshttps://doi.org/10.2991/jnmp.1995.2.3-4.20openalex-snapshot

The Bäcklund and the Galilei Invariant Transformations Constructed by Similarity Variables for Soliton Equations

inferred← citeshttps://doi.org/10.7868/s0044466914010165openalex-snapshot

Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation

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