Combined partial-bar and riemann-hilbert inverse methods for integrable non-linear evolution equations in (2+1) dimensions

Zhuhan Jiang; R. K. Bullough

doi:10.1088/0305-4470/20/7/003

Combined partial-bar and riemann-hilbert inverse methods for integrable non-linear evolution equations in (2+1) dimensions

Zhuhan Jiang, R. K. Bullough

University of Manchester

Research output: Contribution to journal › Letter › peer-review

23 Citations (Scopus)

Abstract

The authors give a natural combination of partial-bar and Riemann-Hilbert problem inverse methods for an n th-order scalar spectral problem which solves a number of integrable non-linear evolution equations in two space and one time (2+1) dimensions. The theory embraces the two Kadomtsev-Petviashvili equations (1970) and their lump solutions.

Original language	English
Pages (from-to)	429-435
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	20
Issue number	7
DOIs	https://doi.org/10.1088/0305-4470/20/7/003
Publication status	Published - 11 May 1987
Externally published	Yes

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10.1088/0305-4470/20/7/003

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title = "Combined partial-bar and riemann-hilbert inverse methods for integrable non-linear evolution equations in (2+1) dimensions",

abstract = "The authors give a natural combination of partial-bar and Riemann-Hilbert problem inverse methods for an n th-order scalar spectral problem which solves a number of integrable non-linear evolution equations in two space and one time (2+1) dimensions. The theory embraces the two Kadomtsev-Petviashvili equations (1970) and their lump solutions.",

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AU - Bullough, R. K.

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Y1 - 1987/5/11

N2 - The authors give a natural combination of partial-bar and Riemann-Hilbert problem inverse methods for an n th-order scalar spectral problem which solves a number of integrable non-linear evolution equations in two space and one time (2+1) dimensions. The theory embraces the two Kadomtsev-Petviashvili equations (1970) and their lump solutions.

AB - The authors give a natural combination of partial-bar and Riemann-Hilbert problem inverse methods for an n th-order scalar spectral problem which solves a number of integrable non-linear evolution equations in two space and one time (2+1) dimensions. The theory embraces the two Kadomtsev-Petviashvili equations (1970) and their lump solutions.

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U2 - 10.1088/0305-4470/20/7/003

DO - 10.1088/0305-4470/20/7/003

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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Combined partial-bar and riemann-hilbert inverse methods for integrable non-linear evolution equations in (2+1) dimensions

Abstract

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