Concepedia
Applied Mathematics and Computation · 2007 · 283 citations · 14 references
Natural SciencesPhysicsDifferential EquationsTheoretical PhysicsNonlinear Wave DynamicsNumerical Methods For Differential EquationsPerturbation MethodsSchrödinger EquationBilinear FormsSoliton TheorySolitonsWave Equation Expansions
14
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
Exact envelope-soliton solutions of a nonlinear wave equation
Ryogo Hirota · Journal of Mathematical Physics · 1973 · 1.4K citations
Natural Sciences, Physics, Differential Equations +16
The tanh method: I. Exact solutions of nonlinear evolution and wave equations
W. Malfliet, Willy Hereman · Physica Scripta · 1996 · 1K citations
Natural Sciences, Mathematics, Physics +17
Partial differential equations: Methods and applications
Computers & Mathematics with Applications · 2003 · 497 citations
Natural Sciences, Mathematics, Physics +12
Symbolic methods to construct exact solutions of nonlinear partial differential equations
Willy Hereman, Ameina S. Nuseir · Mathematics and Computers in Simulation · 1997 · 471 citations
Natural Sciences, Mathematics, Differential Equations +10