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View search results from all Wolfram sites (43051 matches)The partial differential equation partial/(partialx)(u_t+uu_x+1/2u_(xxx)+u/(2t))+(3alpha^2)/(2t^2)u_(yy)=0 which arises in the study of water waves.
The partial differential equation u_(xx)=au_(tt)+bu_t+cu.
The system of partial differential equations f_x = 2fgc(x-t) (1) g_t = 2fgc(x-t). (2)
The system of partial differential equations U_t = [V,W] (1) V_t = [W,U] (2) W_t = [U,V], (3) where [A,B] denotes the commutator.
The Benney equation in 1+1 dimensions is the nonlinear partial differential equation ...
The partial differential equation u_(tt)-u_(xx)=epsilon(u_t-u_t^3).
An natural equation which expresses a curve in terms of its arc length s and tangential angle phi.
The system of partial differential equations u_t = b·v_x (1) b_(xt) = u_(xx)b+axv_x-2vx(vxb). (2)
The linear Boussinesq equation is the partial differential equation u_(tt)-alpha^2u_(xx)=beta^2u_(xxtt) (1) (Whitham 1974, p. 9; Zwillinger 1997, p. 129). The nonlinear ...
The quantum electrodynamical law which applies to spin-1/2 particles and is the relativistic generalization of the Schrödinger equation. In 3+1 dimensions (three space ...
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