4. Nonlinear Sciences
  5. Pattern Formation and Solitons

Todd Kapitula

Nonlinear Sciences – Pattern Formation and Solitons

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University of New Mexico

An index theorem for the stability of periodic traveling waves of KdV type

Mathematics – Analysis of PDEs
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Bifurcating bright and dark solitary waves of the nearly nonlinear cubic-quintic Schrodinger equation

Nonlinear Sciences – Pattern Formation and Solitons
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Existence and stability of hole solutions to complex Ginzburg-Landau equations

Nonlinear Sciences – Pattern Formation and Solitons
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Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation

Nonlinear Sciences – Pattern Formation and Solitons
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