# Painleve analysis, Auto-Backlund transformation and new exact solutions for improved modied KdV equation

## DOI:

https://doi.org/10.14419/ijamr.v3i3.2940## Published:

2014-07-26## Abstract

Improved modied Korteweg-de Vries (IMKdV) equation is shown to be non-integrable using Painleve analysis. Exact travelling wave solutions are obtained using auto-Backlund transformation and Linearized transformation.

**Keywords:** IMKdV equation; Painleve analysis; extended homogeneous balance method, auto-Backlund transformation, Linearized transformation, and exact solutions.

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