Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

Xianguo Geng; Yongtang Wu; Cewen Cao

doi:10.1088/0305-4470/32/20/306

Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

Xianguo Geng^*
, Yongtang Wu
, Cewen Cao

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

92 Citations (Scopus)

Abstract

The (2 + 1)-dimensional modified Kadomtsev-Petviashvili equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation are obtained in terms of Riemann theta functions.

Original language	English
Pages (from-to)	3733-3742
Number of pages	10
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	20
DOIs	https://doi.org/10.1088/0305-4470/32/20/306
Publication status	Published - 21 May 1999
Externally published	Yes

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Cite this

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title = "Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation",

abstract = "The (2 + 1)-dimensional modified Kadomtsev-Petviashvili equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation are obtained in terms of Riemann theta functions.",

author = "Xianguo Geng and Yongtang Wu and Cewen Cao",

year = "1999",

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AU - Geng, Xianguo

AU - Wu, Yongtang

AU - Cao, Cewen

PY - 1999/5/21

Y1 - 1999/5/21

N2 - The (2 + 1)-dimensional modified Kadomtsev-Petviashvili equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation are obtained in terms of Riemann theta functions.

AB - The (2 + 1)-dimensional modified Kadomtsev-Petviashvili equation is decomposed into systems of integrable ordinary differential equations resorting to the nonlinearization of Lax pairs. Abel-Jacobi coordinates are introduced to straighten the flows, from which quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation are obtained in terms of Riemann theta functions.

UR - https://www.scopus.com/pages/publications/0033591084

U2 - 10.1088/0305-4470/32/20/306

DO - 10.1088/0305-4470/32/20/306

M3 - Journal article

AN - SCOPUS:0033591084

SN - 0305-4470

VL - 32

SP - 3733

EP - 3742

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 20

ER -

Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation

Abstract

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