Darboux transformation and multi-solitons for complex mKdV equation

Qi Lao Zha; Zhi Bin Li

doi:10.1088/0256-307X/25/1/003

Darboux transformation and multi-solitons for complex mKdV equation

Qi Lao Zha, Zhi Bin Li

School of Mathematical Sciences

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

31 Scopus citations

Abstract

An explicit N-fold Darboux transformation with multi-parameters for coupled mKdV equation is constructed with the help of a gauge transformation of the Ablowitz-Kaup-Newell-Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some multi-soliton solutions for the complex mKdV equation are obtained.

Original language	English
Pages (from-to)	8-11
Number of pages	4
Journal	Chinese Physics Letters
Volume	25
Issue number	1
DOIs	https://doi.org/10.1088/0256-307X/25/1/003
State	Published - 1 Jan 2008

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title = "Darboux transformation and multi-solitons for complex mKdV equation",

abstract = "An explicit N-fold Darboux transformation with multi-parameters for coupled mKdV equation is constructed with the help of a gauge transformation of the Ablowitz-Kaup-Newell-Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some multi-soliton solutions for the complex mKdV equation are obtained.",

author = "Zha, \{Qi Lao\} and Li, \{Zhi Bin\}",

year = "2008",

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doi = "10.1088/0256-307X/25/1/003",

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AU - Zha, Qi Lao

AU - Li, Zhi Bin

PY - 2008/1/1

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N2 - An explicit N-fold Darboux transformation with multi-parameters for coupled mKdV equation is constructed with the help of a gauge transformation of the Ablowitz-Kaup-Newell-Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some multi-soliton solutions for the complex mKdV equation are obtained.

AB - An explicit N-fold Darboux transformation with multi-parameters for coupled mKdV equation is constructed with the help of a gauge transformation of the Ablowitz-Kaup-Newell-Segur (AKNS) system spectral problem. By using the Darboux transformation and the reduction technique, some multi-soliton solutions for the complex mKdV equation are obtained.

UR - https://www.scopus.com/pages/publications/41849087364

U2 - 10.1088/0256-307X/25/1/003

DO - 10.1088/0256-307X/25/1/003

M3 - 文章

AN - SCOPUS:41849087364

SN - 0256-307X

VL - 25

SP - 8

EP - 11

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 1

ER -

Darboux transformation and multi-solitons for complex mKdV equation

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