Analytical studies of the steady solution for optical soliton equation with higher-order dispersion and nonlinear effects |
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| Institution: | 1. School of Mathematics and Statistic, Linyi University, Linyi, Shandong 276005, China;2. School of Mathematics and Statistic, Central South University, Changsha, Hunan 410065, China;3. Department of Applied Mathematics, Western University, London, Ontario, N6A 5B7, Canada;1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, PR China;2. School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, PR China |
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| Abstract: | The exact analytical solution of the optical soliton equation with higher-order dispersion and nonlinear effects has been obtained by the method of separating variables. The new type of optical solitary wave solution, which is quite different from the bright and dark soliton solutions, has been found under two special cases. The stability of the solitary wave solutions for the optical soliton equation is discussed. Some new conclusion of the stability are obtained, for the solitary wave solutions of the nonlinear wave equations, by using the Liapunov direct method. |
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