A hyperbolic relaxation of the nonlinear Schrödinger equation conserves three analogs of NLS invariants and admits standing-wave solutions that converge linearly to NLS ground states as the relaxation parameter vanishes.
Accurate solution of the nonlinear Schr¨ odinger equa- tion via conservative multiple-relaxation ImEx methods.SIAM Journal on Scientific Computing, 46(6):A3827–A3848, 2024
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A Hyperbolic Approximation of the Nonlinear Schr\"odinger Equation
A hyperbolic relaxation of the nonlinear Schrödinger equation conserves three analogs of NLS invariants and admits standing-wave solutions that converge linearly to NLS ground states as the relaxation parameter vanishes.