Published April 1, 2018 | Version v1
Journal article Metadata-only

Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

Creators

  • 1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059 (China)

Description

This paper is concerned with the generalized variable-coefficient nonlinear evolution equation (vc-NLEE). The complete integrability classification is presented, and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlevé analysis. Then, the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method, and the Lax pairs (LP) of the vc-NLEEs are constructed in terms of the integrable conditions. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/27/4/040202

Additional details

Identifiers

DOI
10.1088/1674-1056/27/4/040202;

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
27
Journal Issue
4
Journal Page Range
[6 p.]
ISSN
1674-1056

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52046142
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
COMPLETE INTEGRABILITY; EVOLUTION EQUATIONS; EXACT SOLUTIONS; EXPANSION; LAX THEOREM; NONLINEAR PROBLEMS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRABILITY; MATHEMATICAL SOLUTIONS