The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions

@article{Yao2011TheNI,
  title={The new integrable deformations of a short pulse equation and sine-Gordon equation, and their solutions},
  author={Yuqin Yao and Yehui Huang and G. Dong and Yunbo Zeng},
  journal={Journal of Physics A},
  year={2011},
  volume={44},
  pages={065201}
}
We first derive an integrable deformed hierarchy of a short pulse equation and its Lax representation. Then we concentrate on the solution of the integrable deformed short pulse equation (IDSPE). By proposing a generalized reciprocal transformation, we find a new integrable deformed sine-Gordon equation (IDSGE) and its Lax representation. The multisoliton solutions, negaton solutions and positon solutions for the IDSGE and the N-loop soliton solutions, N-negaton and N-positon solutions for the… Expand
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References

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The short pulse hierarchy
Positons: Slowly Decreasing Analogues of Solitons
The Short Pulse Equation Is Integrable
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