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A New Integrable Variable-Coefficient -Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method

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  • Ting Su
  • Hui Hui Dai

Abstract

Based on the generalized dressing method, we propose a new integrable variable-coefficient -dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions are drawn.

Suggested Citation

  • Ting Su & Hui Hui Dai, 2018. "A New Integrable Variable-Coefficient -Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-7, July.
    • Handle: RePEc:hin:jnlamp:7286574
    DOI: 10.1155/2018/7286574
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