On Some Classes of Breather Lattice Solutions to the sinh-Gordon Equation

In this paper, dependent and independent variable transformations are introduced to solve the sinh- Gordon equation by using the knowledge of the elliptic equation and Jacobian elliptic functions. It is shown that different kinds of solutions can be obtained to the sinh-Gordon equation, including breather lattice solutions and periodic wave solutions.

[1]  Mohamed A. Helal,et al.  Solitons, Introduction to , 2009, Encyclopedia of Complexity and Systems Science.

[2]  G. Lamb Elements of soliton theory , 1980 .

[3]  P. Byrd,et al.  Handbook of Elliptic Integrals for Engineers and Physicists , 2014 .