On the Nonexistence of Nls Breathers
Copyright policy )On the Nonexistence of Nls Breathers
In this work, a rigorous proof of the nonexistence of breather solutions for NLS equations is presented. By using suitable virial functionals, we are able to characterize the nonexistence of breather solutions, different from standing waves, by only using their inner energy and the power of the corresponding nonlinearity of the equation. We extend this result for several NLS models with different power nonlinearities and even the derivative and logarithmic NLS equations.
25 pages; typos corrected
- University of Córdoba Spain
NLS equations (nonlinear Schrödinger equations), Smoothness and regularity of solutions to PDEs, Primary 35Q55, 35Q60, Secondary 35B65, breathers, Nonexistence, Virial, virial, Breathers, Mathematics - Analysis of PDEs, nonexistence, FOS: Mathematics, nonlinear Schrödinger, Nonlinear Schrödinger, PDEs in connection with optics and electromagnetic theory, Analysis of PDEs (math.AP)
NLS equations (nonlinear Schrödinger equations), Smoothness and regularity of solutions to PDEs, Primary 35Q55, 35Q60, Secondary 35B65, breathers, Nonexistence, Virial, virial, Breathers, Mathematics - Analysis of PDEs, nonexistence, FOS: Mathematics, nonlinear Schrödinger, Nonlinear Schrödinger, PDEs in connection with optics and electromagnetic theory, Analysis of PDEs (math.AP)
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