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2003•Chinese Annals of Mathematics,series ARequires access

BACKLUND TRANSFORMATION OF EXTENSION OF THE LAX PAIR OF BOUSSINESQ SYSTEM AND THE RECURSION FORMULA FOR LAX PAIR

Tian Yong-Bo

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Abstract

This paper considers the 2 + 1 extension of classical Boussinesq system. At first, the authors study the Lax pair of this system and dig out a new type of Backlund transformation with an arbitrary function and find a formula for creating new characteristic functions. At last, by combination the Backlund transformation and the formula for creating characteristic functions, the authors find out the recursion formula for Lax pair. By using the recursion formula, some solutions of Lax pair are obtained.

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What this paper is about

This paper considers the 2 + 1 extension of classical Boussinesq system. At first, the authors study the Lax pair of this system and dig out a new type of Backlund transformation with an arbitrary function and find a formula for creating new characteristic functions. At last, by combination the Backlund transformation and the formula for creating characteristic functions, the authors find out the recursion formula for Lax pair. By using the recursion formula, some solutions of Lax pair are obtained.

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Available abstract

This paper considers the 2 + 1 extension of classical Boussinesq system. At first, the authors study the Lax pair of this system and dig out a new type of Backlund transformation with an arbitrary function and find a formula for creating new characteristic functions. At last, by combination the Backlund transformation and the formula for creating characteristic functions, the authors find out the recursion formula for Lax pair. By using the recursion formula, some solutions of Lax pair are obtained.

Key concepts: Lax pair, Recursion (computer science), Extension (predicate logic), Transformation (genetics), Mathematics, Function (biology), Pure mathematics, Algebra over a field

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BACKLUND TRANSFORMATION OF EXTENSION OF THE LAX PAIR OF BOUSSINESQ SYSTEM AND THE RECURSION FORMULA FOR LAX PAIR — Research Paper | ScholarLens