Inverse Problems · 1992 · 58 citations · 11 references
Natural SciencesMathematicsDifferential EquationsIntegrable SystemsNonlinear Wave DynamicsPartial Differential EquationsSchrödinger EquationWave FunctionsNonlinear Schrödinger EquationWave EquationsWavefunction Solutions
A (2 + 1)-dimensional integrable generalization of the nonlinear Schrödinger equation is studied, and solutions obtained using Hirota's method. The solutions so obtained have the property of depending on a number of arbitrary functions, as well as arbitrary constants. Same explicit examples are given.
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Scattering of localized solitons in the plane
M. Boiti, J. León, L. Martina et al. · Physics Letters A · 1988 · 429 citations
Multidromion solutions to the Davey-Stewartson equation
Jarmo Hietarinta, Ryogo Hirota · Physics Letters A · 1990 · 158 citations
Soliton Solutions of Non-linear Evolution Equations
N. C. Freeman · IMA Journal of Applied Mathematics · 1984 · 88 citations