New type of nonisospectral KP equation with self-consistent sources and its bilinear bäcklund transformation

Ye Peng Sun; Hon Wah Tam

doi:10.1142/S1402925111001490

New type of nonisospectral KP equation with self-consistent sources and its bilinear bäcklund transformation

Ye Peng Sun^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

4 Citations (Scopus)

Abstract

A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.

Original language	English
Pages (from-to)	323-336
Number of pages	14
Journal	Journal of Nonlinear Mathematical Physics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1142/S1402925111001490
Publication status	Published - Jun 2011

User-Defined Keywords

Bäcklund transformation
Nonisospectral KP equation
soliton solution
source generation procedure

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10.1142/S1402925111001490

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title = "New type of nonisospectral KP equation with self-consistent sources and its bilinear b{\"a}cklund transformation",

abstract = "A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear B{\"a}cklund transformation.",

keywords = "B{\"a}cklund transformation, Nonisospectral KP equation, soliton solution, source generation procedure",

author = "Sun, \{Ye Peng\} and Tam, \{Hon Wah\}",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China (Grant No. 11071241), Hong Kong General Research Fund HKBU 202209 and the Nature Science Foundation of Shandong Province of China (Grant No. ZR2010AL014).",

year = "2011",

month = jun,

doi = "10.1142/S1402925111001490",

language = "English",

volume = "18",

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T1 - New type of nonisospectral KP equation with self-consistent sources and its bilinear bäcklund transformation

AU - Sun, Ye Peng

AU - Tam, Hon Wah

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (Grant No. 11071241), Hong Kong General Research Fund HKBU 202209 and the Nature Science Foundation of Shandong Province of China (Grant No. ZR2010AL014).

PY - 2011/6

Y1 - 2011/6

N2 - A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.

AB - A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.

KW - Bäcklund transformation

KW - Nonisospectral KP equation

KW - soliton solution

KW - source generation procedure

UR - https://www.scopus.com/pages/publications/79959897222

U2 - 10.1142/S1402925111001490

DO - 10.1142/S1402925111001490

M3 - Journal article

AN - SCOPUS:79959897222

SN - 1402-9251

VL - 18

SP - 323

EP - 336

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

IS - 2

ER -

New type of nonisospectral KP equation with self-consistent sources and its bilinear bäcklund transformation

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