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Wegive an improved qualitativemethod to solve the osmosis K(2, 2) equation. Thismethod combines several characteristics of other methods. Using this method, the existence of symmetric and non-symmetric wave solutions of the osmosis K(2, 2) equation is studied. Besides abundant symmetric forms such as smooth wave solutions, peaked waves, cusped waves, looped(More)
Lattice models are associated with rather important problems in physics. Solution of these models gives insights into the nature of phase transitions, magnetization and scaling behavior, as well as insights into the nature of quantum field theory. An expanded G'/G-expansion method is presented to seek explicit solutions of nonlinear lattice equations. The(More)
We present a KdV-like 2-parameter equation ut + (3(1− δ)u+ (δ + 1)xx ux )ux = εuxxx. By using the dynamical system method, existence of different traveling wave solutions are discussed, including smooth solitary wave solution of with bell type, solitary wave solutions of valley type and peakon wave solution of valley type. Numerical integration are used to(More)
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