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Communications in Nonlinear Science and Numerical Simulation · 2021 · 52 citations · 22 references
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Natural SciencesMathematicsPhysicsDifferential EquationsDynamical SystemsIntegrable SystemsNonlinear DynamicsNonlinear Wave DynamicsPartial Differential EquationsSchrödinger EquationSoliton TheorySolitonsWave EquationsWavefunction Solutions
22
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
A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
K. Sawada, Takeyasu Kotera · Progress of Theoretical Physics · 1974 · 585 citations · Full text
Natural Sciences, Mathematics, Physics +9
Some new integrable nonlinear evolution equations in 2 + 1 dimensions
B. G. Konopelchenko, V. G. Dubrovsky · Physics Letters A · 1984 · 367 citations
<i>N</i>-Soliton Solutions of Model Equations for Shallow Water Waves
Ryogo Hirota, Junkichi Satsuma · Journal of the Physical Society of Japan · 1976 · 352 citations
Natural Sciences, Mathematics, Differential Equations +12
A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
Jarmo Hietarinta · Journal of Mathematical Physics · 1987 · 275 citations
Natural Sciences, Mathematics, Physics +10