New type of source extension for a two-dimensional special lattice equation and determinant solutions

Hong Yan Wang; Guo Qing Zhu

doi:10.1186/s13662-021-03219-w

New type of source extension for a two-dimensional special lattice equation and determinant solutions

Hong Yan Wang, Guo Qing Zhu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Renmin University of China

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

Abstract

We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.

Original language	English
Article number	67
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03219-w
Publication status	Published - Dec 2021

Keywords

Determinant solution
Self-consistent sources
Soliton solution
Two-dimensional special lattice equation

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10.1186/s13662-021-03219-w

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title = "New type of source extension for a two-dimensional special lattice equation and determinant solutions",

abstract = "We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.",

keywords = "Determinant solution, Self-consistent sources, Soliton solution, Two-dimensional special lattice equation",

author = "Wang, {Hong Yan} and Zhu, {Guo Qing}",

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year = "2021",

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doi = "10.1186/s13662-021-03219-w",

language = "English",

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T1 - New type of source extension for a two-dimensional special lattice equation and determinant solutions

AU - Wang, Hong Yan

AU - Zhu, Guo Qing

PY - 2021/12

Y1 - 2021/12

N2 - We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.

AB - We present a new type of two-dimensional special lattice equations with self-consistent sources using the source generation procedure. Then we obtain the Grammy-type and Casorati-type determinant solutions of the coupled system. Further, we present the one-soliton and two-soliton solutions.

KW - Determinant solution

KW - Self-consistent sources

KW - Soliton solution

KW - Two-dimensional special lattice equation

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U2 - 10.1186/s13662-021-03219-w

DO - 10.1186/s13662-021-03219-w

M3 - Article

AN - SCOPUS:85099557861

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 67

ER -

New type of source extension for a two-dimensional special lattice equation and determinant solutions

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Keywords

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