Solitary Waves for One-Dimensional Nematicon Equations
Journal of Mathematical Analysis and Applications
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In this paper, we study the one-dimensional nematicon equations which model the propagation of coherent and polarized light in nonlocal nematic liquid crystals. The existences of local and global solutions are derived first upon applying the Strichartz's estimates. Then the existence of ground state solitary wave solutions is proved by using the concentration-compactness technique and the critical point theory.
Ground states; Nematicon equations; Solitary waves
Solitary Waves for One-Dimensional Nematicon Equations.
Journal of Mathematical Analysis and Applications, 475(1),