Why Are Certain Nonlinear PDEs Both Widely Applicable and Integrable?

This publication has 17 references indexed in Scilit:

• Cauchy problems on the semiline and on a finite interval for the Eckhaus equation
  Inverse Problems, 1988
• Extension of the module of invertible transformations. Classification of integrable systems
  Communications in Mathematical Physics, 1988
• Nonlinear evolution equations, rescalings, model PDEs and their integrability: II
  Inverse Problems, 1988
• The Eckhaus PDE iψ _t + ψ _xx + 2(|ψ| ² ) _x ψ + |ψ| ⁴ ψ = 0
  Inverse Problems, 1987
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I
  Inverse Problems, 1987
• Necessary conditions for integrability of nonlinear PDEs
  Inverse Problems, 1987
• The evolution partial differential equation u t=u x x x+3(u x x u2 +3u2x u)+3u x u4
  Journal of Mathematical Physics, 1987
• The Inverse Scattering Method
  1980
• Two-dimensional self-modulation of lower hybrid waves in inhomogeneous plasmas
  The Physics of Fluids, 1979
• Reductive Perturbation Method and Far Fields of Wave Equations
  Progress of Theoretical Physics Supplement, 1974