Mach-Type Soliton in the Novikov-Veselov Equation

Symmetry Integrability and Geometry-Methods and Applications

article

Jen-Hsu Chang¹ 

[1] Department of Computer Science and Information Engineering, National Defense University

关键词: Pfaf fian;    Mach-type soliton;    Mach stem wave;    V -shape wave;   

DOI  :  10.3842/SIGMA.2014.111

来源: National Academy of Science of Ukraine

【 摘 要 】

Using the reality condition of the solutions, one constructs the Mach-type soliton of the Novikov-Veselov equation by the minor-summation formula of the Pfaffian. We study the evolution of the Mach-type soliton and find that the amplitude of the Mach stem wave is less than two times of the one of the incident wave. It is shown that the length of the Mach stem wave is linear with time. One discusses the relations with $V$-shape initial value wave for different critical values of Miles parameter.

【 授权许可】

Unknown