# 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

#### 10 Citations

Multiple complex and multiple real soliton solutions for the integrable sine-Gordon equation

- Physics
- 2018

Integrability and exact solutions of the nonautonomous mixed mKdV-sinh-Gordon equation

- Mathematics, Computer Science
- Commun. Nonlinear Sci. Numer. Simul.
- 2014

Camassa-Holm and M-CIV equations with self-consistent sources: geometry and peakon solutions

- Physics
- 2019

Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source

- Mathematics, Computer Science
- Comput. Math. Appl.
- 2018

#### References

SHOWING 1-10 OF 25 REFERENCES

Negaton and positon solutions of the soliton equation with self-consistent sources

- Mathematics, Physics
- 2003