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Soliton solutions for quasilinear Schrödinger equations, I
Proceedings of the American Mathematical Society · 2002 · Vol. 131(2) · pp. 441–448
Jiaquan Liu✉(Peking University)Zhi-Qiang Wang(Utah State University)
Abstract
For a class of quasilinear Schrödinger equations we establish the existence of ground states of soliton type solutions by a minimization argument.
Advanced Mathematical Physics ProblemsNonlinear Partial Differential EquationsSpectral Theory in Mathematical PhysicsSolitonMathematical physicsPhysicsSchrödinger's catQuantum electrodynamicsQuantum mechanicsNonlinear system
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368
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2.39
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24
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86%
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References
Large-Amplitude Quasi-Solitons in Superfluid Films
Journal of the Physical Society of Japan · 1981 · 463 citations
Existence of solitary waves in higher dimensions
Communications in Mathematical Physics · 1977 · 1,800 citations
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