Articles written in Pramana – Journal of Physics
Volume 83 Issue 4 October 2014 pp 473-480 Research Articles
Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation
Zhengde Dai Chuanjian Wang Jun Liu
A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (1+1)-dimensional Boussinesq equation is used as an example to illustrate the effectiveness of the suggested method. Rational homoclinic wave solution, a new family of two-wave solution, is obtained by inclined periodic homoclinic breather wave solution and is just a rogue wave solution. This result shows that rogue wave originates by the extreme behaviour of homoclinic breather wave in (1+1)-dimensional nonlinear wave fields.
Volume 85 Issue 6 December 2015 pp 1063-1072
Rogue wave solutions of the nonlinear Schrödinger eqution with variable coefficients
Changfu Liu Yan Yan Li Meiping Gao Zeping Wang Zhengde Dai Chuanjian Wang
In this paper, a unified formula of a series of rogue wave solutions for the standard (1+1)-dimensional nonlinear Schrödinger equation is obtained through exp-function method. Further, by means of an appropriate transformation and previously obtained solutions, rogue wave solutions of the variable coefficient Schrödinger equation are also obtained. Two free functions of time 𝑡 and several arbitrary parameters are involved to generate a large number of wave structures.
Volume 97, 2023
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