Claes M. Hedberg
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View article: Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium
Collisions, mutual losses and annihilation of pulses in a modular nonlinear medium Open
One of the most important sections of nonlinear wave theory is related to the collisions of single pulses. These often exhibit corpuscular properties. For example, it is well known that solitons described by the Korteweg–de Vries equation …
View article: A new equation and exact solutions describing focal fields in media with modular nonlinearity
A new equation and exact solutions describing focal fields in media with modular nonlinearity Open
Brand-new equations which can be regarded as modifications of Khokhlov–Zabolotskaya–Kuznetsov or Ostrovsky–Vakhnenko equations are suggested. These equations are quite general in that they describe the nonlinear wave dynamics in media with…
View article: The quadratically cubic Burgers equation: an exactly solvable nonlinear model for shocks, pulses and periodic waves
The quadratically cubic Burgers equation: an exactly solvable nonlinear model for shocks, pulses and periodic waves Open
A modified equation of Burgers type with a quadratically cubic (QC) nonlinear term was recently pointed out as a new exactly solvable model of mathematical physics. However, its derivation, analytical solution, computer modeling, as well a…