About the Authors

Qianying Lin

Affiliation Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong (SAR) China

Zhigui Lin

Affiliation School of Mathematical Science, Yangzhou University, Yangzhou, 225002, People Republic of China

Alice P. Y. Chiu

alice.py.chiu@polyu.edu.hk

Affiliation Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong (SAR) China

Daihai He

Affiliation Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong (SAR) China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: DH ZL. Performed the experiments: QL ZL AC DH. Analyzed the data: QL ZL AC DH. Contributed reagents/materials/analysis tools: DH. Wrote the paper: QL ZL AC DH.