Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background

Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

Ryogo Hirota · Physical Review Letters · 1971 · 3K citations

Natural Sciences, Physics, Differential Equations +12

On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation

Philippe Dubard, Pierre Gaillard, Christian Klein et al. · The European Physical Journal Special Topics · 2010 · 311 citations

Natural Sciences, Mathematics, Physics +6

Bright and dark soliton solutions to coupled nonlinear Schrodinger equations

Rahul Radhakrishnan, M. Lakshmanan · Journal of Physics A Mathematical and General · 1995 · 262 citations

Natural Sciences, Physics, Differential Equations +16

Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits

David Jacob Kedziora, Adrian Ankiewicz, Nail Akhmediev · Physical Review E · 2012 · 257 citations · Full text

Natural Sciences, Mathematics, Physics +12

Generalized Wronskian formula for solutions of the KdV equations: first applications

V. B. Matveev · Physics Letters A · 1992 · 233 citations

Natural Sciences, Mathematics, Differential Equations +5