Journal of Physics A Mathematical and General · 2002 · 331 citations · 18 references
Numerical AnalysisSpectral TheoryEngineeringResolvent KernelCommutative AlgebraNumerical SimulationNew ApproachAlgebraic AnalysisFirst-integral MethodIntegrable SystemNumerical Method For Partial Differential Equation
In this paper, applying the theory of commutative algebra, we propose a new approach which we currently call the first-integral method to study the Burgers–Korteweg–de Vries equation.
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<i>Linear and Nonlinear Waves</i>
G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.2K citations
Engineering, Physics, Wave Physics +14
Exact solutions for a compound KdV-Burgers equation
Mingliang Wang · Physics Letters A · 1996 · 849 citations · Full text
Ernesto Medina, Terence Hwa, Mehran Kardar et al. · Physical review. A, General physics · 1989 · 672 citations
Engineering, Stochastic Phenomenon, Mathematical Statistical Physic +18
Morikazu Toda · Progress of Theoretical Physics Supplement · 1970 · 402 citations