Concepedia

A reciprocal transformation for the Geng-Xue equation

Journal of Mathematical Physics · 2014 · 23 citations · 17 references

Concepts

Monge-ampere EquationReciprocal TransformationConserved QuantitiesQuantum Field TheoryBacklund TransformationGeng-xue EquationIntegrable SystemEvolution EquationLie Point SymmetryIntegral Transform

Abstract

In this paper, we construct a reciprocal transformation for the Geng-Xue equation and show that, with help of this transformation, we relate the first negative flow of the modified Boussinesq hierarchy to the Geng-Xue equation. Furthermore, we analyze the construction of conserved quantities and present new ones.

References

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Asymptotic Expansion, Soliton Solution, Nonlinear Wave Propagation +5

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Journal of Physics A Mathematical and Theoretical · 2009 · 523 citations

Camassa–holm Equation, Negative Flows, Generalized Camassa–holm-type Equations +4