
doi: 10.1063/1.530284 , 10.1063/1.529346
handle: 11573/10350
A technique based on a change of dependent variables, used in a previous paper to generate C-integrable nonlinear partial differential equations (PDEs) (i.e., nonlinear PDEs linearizable by an appropriate Change of variables) in 1+1 dimensions (one time and one space variables), is extended to the case of more than one space dimension. Several examples of evolution C-integrable PDEs in 1+2 dimensions (one time and two space variables) are exhibited.
inelastic scattering of solitons, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Soliton equations, Other completely integrable PDE, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), nonlinear phenomena in multidimensions, elastic scattering of solitons, nonlinear PDE solvable by a change of variables
inelastic scattering of solitons, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Soliton equations, Other completely integrable PDE, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), nonlinear phenomena in multidimensions, elastic scattering of solitons, nonlinear PDE solvable by a change of variables
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