Journal of Mathematical Physics · 1974 · 177 citations · 10 references
Backlund TransformationBäcklund TransformationIntegrable SystemEvolution EquationBäcklund TransformationsKdv Equations
Bäcklund transformations associated with the Korteweg-deVries (KdV), modified KdV, and nonlinear Schrödinger equations are derived by a method due to Clairin. Also, a Bäcklund transformation relating the KdV and modified KdV equations is obtained by the same technique.
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The soliton: A new concept in applied science
Alwyn Scott, Flora Y. F. Chu, David W. McLaughlin · Proceedings of the IEEE · 1973 · 1.7K citations
Nonlinear-Evolution Equations of Physical Significance
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 1.1K citations
Method for Solving the Sine-Gordon Equation
Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 913 citations
Numerical Analysis, Method Of Fundamental Solution, Initial Value Problem +6