New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation
HU Heng-Chun1, ZHU Hai-Dong2
1College of Science, University of Shanghai for Science and Technology, Shanghai 200093
2National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation
HU Heng-Chun1;ZHU Hai-Dong2
1College of Science, University of Shanghai for Science and Technology, Shanghai 200093
2National Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800
Abstract： New exact solutions of the (2+1)-dimensional double sine-Gordon equation are studied by introducing the modified mapping relations between the cubic nonlinear Klein--Gordon system and double sine-Gordon equation. Two arbitrary functions are included into the Jacobi elliptic function solutions. New doubly periodic wave solutions are obtained and displayed graphically by proper selections of the arbitrary functions.
HU Heng-Chun;ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation[J]. 中国物理快报, 2007, 24(1): 1-4.
HU Heng-Chun, ZHU Hai-Dong. New Doubly Periodic Waves of the (2+1)-Dimensional Double Sine-Gordon Equation. Chin. Phys. Lett., 2007, 24(1): 1-4.
2007, Vol. 24 
