Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrödinger equation
Abstract A non-integrable, variable coefficient nonlinear Schrödinger equation which governs the nonlinear pulse propagation in an inhomogeneous medium is considered. The same equation is also applicable to optical pulse propagation in averaged, dispersion-managed optical fiber systems, or fiber systems with phase modulation and pulse compression. Multi-scale asymptotic techniques are employed ...
متن کاملIntegrable nonlocal nonlinear Schrödinger equation.
A new integrable nonlocal nonlinear Schrödinger equation is introduced. It possesses a Lax pair and an infinite number of conservation laws and is PT symmetric. The inverse scattering transform and scattering data with suitable symmetries are discussed. A method to find pure soliton solutions is given. An explicit breathing one soliton solution is found. Key properties are discussed and contras...
متن کاملEvolution of solitary waves for a perturbed nonlinear Schrödinger equation
Soliton perturbation theory is used to determine the evolution of a solitary wave described by a perturbed nonlinear Schrödinger equation. Perturbation terms, which model wide classes of physically relevant perturbations, are considered. An analytical solution is found for the first-order correction of the evolving solitary wave. This solution for the solitary wave tail is in integral form and ...
متن کاملSolution of a Nonlinear Schrödinger Equation
A slightly modified variant of the cubic periodic one-dimensional nonlinear Schrödinger equation is shown to be well-posed, in a relatively weak sense, in certain function spaces wider than L. Solutions are constructed as sums of infinite series of multilinear operators applied to initial data; no fixed point argument or energy inequality are used.
متن کاملMulti-speed solitary wave solutions for nonlinear Schrödinger systems
Abstract. We prove the existence of a new type of solutions to a nonlinear Schrödinger system. These solutions, which we callmulti-speeds solitary waves, are behaving at large time as a couple of scalar solitary waves traveling at different speeds. The proof relies on the construction of approximations of the multi-speeds solitary waves by solving the system backwards in time and using energy m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica Scripta
سال: 2007
ISSN: 0031-8949,1402-4896
DOI: 10.1088/0031-8949/75/5/005